Publications

  1. Publications

Updated: 2024.02.26

284
Interface vanishing of d − δ systems, Takashi Suzuki1,* and Kazuo Watanabe, AIMS Mathematics, 9(4): 7848–7865. DOI: 10.3934/math.2024382
283
Diffusion-Driven Blow-Up for a Nonlocal Fisher-KPP Type Model
282
Transcription factor SP1 regulates haptoglobin fucosylation via induction of GDP-fucose transporter 1 in the hepatoma cell line HepG2,Jumpei Kondo, Natsumi Sakata, Koichi Morishita, Ayumu Hayashibara, Daisuke Sakon, Shinji Takamatsu, Nobuhiko Asakura, Takashi Suzuki, Eiji Miyoshi,Biochemistry and Biophysics Reports. 32(2022) 101372-101372  DOI: 10.1016/j.bbrep.2022.101372
281
Liouville‘s formulae and Hadamard variations with respect to general domain perturbations, Takashi Suzuki,T. Tsuchiya,Journal of Mathematical Society of Japan2023 221
280
A knowledge representation model for family relationship to three generation K. Shimokawa, M. ishikuro, T. Obara, H. Metoki, S. Mizuno, S. Nagie, M. nagai, C. Yamanaka, H. Matsubara, M. kato, Y. Sato, S, Ogishia, T. Takai, M. Kikuya, A. Hozawa, F. Nagami, S. Kuriyama, T, Suzuki, K. Kinoshita, M. Yamamoto, H. Tanaka ,Bioinforma.2022 18(1166-1172)
279
Mathematical study of Streater‘s model on Brownian particle gas, Takashi Suzuki, Differential and Integral Equations.36(2023)36-45
278
A New Chemotactic Mechanism Governs Long-Range Angiogenesis Induced by Patching an Arterial Graft into a Vein, Dhisa Minerva, Nuha Loling Othman, Takashi Nakazawa, Yukinobu Ito, Makoto Yoshida, Akiteru Goto, Takashi Suzuki, International Journal of Molecular Sciences. 23(2022)11208-11208, DOI : 10.3390/ijms231911208
277
Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities, Tomohiko Sato, Takashi Suzuki, Annali di Matematica Pura ed Applicata. (2022)DOI:10.1007/s10231-022-01252-4
276
Local and global behavior of solutions to 2D-elliptic equation with exponentially-dominated nonlinearities, Takashi Suzuki, Asymptotic Analysis. 128(2022)465-494, DOI: 10.3233/ASY-211713
275
Signal transduction from ligand-receptor binding associated with the formation of invadopodia in an invasive cancer cell, Noorehan Yaacob, Sharidan Shafie, Takashi Suzuki, Mohd Ariff Admon, AIMS Bioengineering. 9(2022)252-265, DOI:10.3934/bioeng.20220
274
NUMERICAL COMPUTATION OF LIGAND AND SIGNAL ASSOCIATED TO INVADOPODIA FORMATION(Noorehan Yaacob, Sharidan Shafie, Takashi Suzuki, Mohd Ariff Admon, Jurnal Teknologi. 84(2022)41-47, DOI:10.11113/jurnalteknologi.v84.17901
273
Gradient inequality and convergence to steady-states of the normalized Ricci flow on surfaces(Nikos I. Kavallaris, Takashi Suzuki), Nonlinear Analysis, 221(2022), https://doi.org/10.1016/j.na.2022.112906
272
Multicellular model of angiogenesis(Takashi Nakazawa, Sohei Tasaki, Kiyohiko Nakai, Takashi Suzuki), AIMS Bioengineering. 9(2022)44-60, doi: 10.3934/bioeng.2022004
271
INTERFACE VANISHING FOR NONSTATIONARY MAXWELL EQUATION, Advances in Mathematical Sciences and Applications, 30(2021)555-570
270
Relaxation Dynamics of Point Vortices (Ken Sawada, Takashi Suzuki), IntechOpen (2021) , DOI:10.5772 / intechopen.100585
269
-
268
Level set method for free boundary of invasive cancer cell using different functions of matrix metalloproteinases(Noorehan Yaacob, Sharidan Shafie, Takashi Suzuki, Mohd Ariff Admon), Journal of Physics: Conference Series 1988(2021), doi:10.1088/1742-6596/1988/1/012020
267
Expression of Cancer Stem Cell Markers EpCAM and CD90 Is Correlated with Anti- and Pro-Oncogenic EphA2 Signaling in Hepatocellular Carcinoma(Nobuhiko Asakura, Naotoshi Nakamura, Atsushi Muroi, Yosui Nojima, Taro Yamashita, Shuichi Kaneko, Kazuki Ikeda, Naohiko Koshikawa, Takashi Suzuki), International Journal of Molecular Sciences 22(2021) 8652, https://doi.org/10.3390/ijms22168652
266
NFAT indicates nucleocytoplasmic damped oscillation via its feedback modulator(Masashi Muramatsu, Takeshi Ito, Hokuto Shimoji, Miko Komiya, Yuri Miyamura, Koichi Nishiyama, Takashi Suzuki, Takashi Minami), Biochemical and Biophysical Research Communications 571(2021) 201-209, https://doi.org/10.1016/j.bbrc.2021.07.072
265
Mass conservative reaction diffusion systems describibng cell polarity (E. Latos), Math. Meth. Appl. Sci. 44 (2021) 5974-5988 B, DOI:10.1002/mma.7162
264
B´’acklund transformation and localized nonlinear wave solutions of the nonlocal defocussing coupled nonlinear Schr´’odinger equation (Y. Yang, T.Suzuki, X. Cheng), Comm. Nonlinear Science and Numerical Simulation 95 (2021) https://doi.org/10.1016/j.cnsns.2020.105626
263
Cellular and mathematical analyses of LUBAC involvement in T cell receptor-mediated NF-κB activation pathway (D. Oikawa, N. Hatanaka, T. Suzuki, F. Tokunaga), Frontiers Immunology. 11 (2020) 601926. DOI:1- .3389/fimmu.2020.60.1926
262
Dissipative reaction diffusion systems with polynomial growth, Adv. Differential Equations 25 (2020) 81-104
261
Darboux tranformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation (Y. Yang, T. Suzuki, X. Cheng), Applied Mathematics Letters. B 99, January 2020, 105998
260
Two-dimensional signal transaction during the formation of invadopodia (with N.A.N. Azuan, N. Yaacob, T. Suzuki, C. Poignard, S. Shafie, M.A.B. Admon), Malaysian J. Math. Sci. 13 (2019) 155-164
259
2D Trudinger-Moser inequality for Boltzmann-Poisson equation with continuously distributed muti-intensities (with Y. Toyota), Cal. Var. 58 (2019) 77- https://doi.org/10.1007/s00536-019-1520-5 arxiv.org/abs/1803.01103
258
Critical roles of IκBα and RelA phosphorylation in transitional oscillation in NF − κB signaling module (with N. Hatanaka, T. Seki, J. Inoue, A. Tero, T. Suzuki), J. Theor. Biol. 462 (2019) 479-489. doi:10.1016/j.jtbi.2018.11.0203.Epub2019Nov27
257
Global existence and boundedness in a fully parabolic 2D attractionrepulsion system: chometaxis-dominant case (with K. Fujie), Adv. Math. Sci. Appl. 28 (2019)
256
Large-time asymptotics of a pulic goods game model with diffusion (with K. Fellner and E. Latos), Monatshefte fur Matematik 190 (2019) 101-121, DOI 10.1007/s00605-019-01275-9
255
Mathematical analysis of gefitinib resistence of lung adenocarcinoma caused by MET amplification (T. Ito, Y. Kumagai, K. Itano, T. Maruyama, K. Tamura, S. Kawasaki, T. Suzuki, Y. Murakami), Biochemical and Biophysical Research Communications (Ito), 511(3): 544-550, 2019
254
Dissipative reaction diffusion systems with quadratic growth (with M. Pierre and Y. Yamada), Indiana Univ. Math. J. 68 (2019) 291-322
253
Lotka-Volterra systems with periodic orbits (with. M. Kobayashi and Y. Yamada), F.E. 62 (2019) 129-155
252
Mean field equation for nearly parallel vortex filament systems (with K. Sawada), Theoretical and Applied Mechanics Japan, 64 (2018) 3-8. doi:10/11345/nctam.64.3
251
Stability and spectral comparison of a reaction-diffusion system with mass conservation (with E. Latos and Y. Morita), J. Dyn. Diff. Equat. 30 (2018) 828-844. DOI. 10.1007/s10884-018-0651-6
250
Numerical approach to existence and stability of stationary solutions to a SKT cross-diffusion equation (with T. Mori and S. Yotsutani), Mathematical Models and Methods in Applied Sciences, 28 (2018) 2191-2210
249
Asymptotic behavior in chemical reaction-diffusion systems with boundary equilibria (with M. Pierre and H. Umakoshi), J. Appl. Anal. Comp. 8 (2018) 836-858
248
Study on the tumor-induced angiogenesis using mathematical models (Suzuki, Takashi; Minerva, Dhisa; Nishiyama, Koichi; Koshikawa, Naohiko; Chaplain, Mark), Cancer Science 109 (2018) 15-23/ DOI:10.1111/cas.13395
247
Asymptotic behaviour of the solution to a virus dynamics model with diffusion (with. T. Sasaki), Discrete Cont. Dyn. Syst. B 23 (2018) 525-541
246
Morse indices of the solutions to the Liouville-Gel’fand problem with variable coefficients (with T. Sato), Funkcialaj Ekvacioj 61 (2018) 229-265
245
Blowup analysis for Boltzmann-Poisson equation in Onsager’s theory for point vortices with multi-intensities (with Y. Toyota), JDE 264 (2018) 6325-6361
244
Shape memory wires in R3 (with S. Okabe and S. Yoshikawa), Shape Memory Alloys, Fundamentals and Applications (ed. F. Ebrahimi), Chapter 2, pp. 37-56, INTECH. 2017
243
On the dynamics of a non-local parabolic equation associated with Gierer-Meinhardt system (with N.I. Kavallaris), Nonlinearity 30 (2017) 1734-1761. NON-101571.R1
242
Asymptotic behavior of renormalized solution to chemical reaction diffusion systems (with M. Pierre and R. Zou), J. Math. Anal. Appl. 450 (2017) 152-168. AN. DOI. 10.1016/j.jmaa.2017.01.022
241
Eigenvalues and eigenfuctions of double layer potentials (with Y. Miyanishi), Trans. Amer. Math. Soc. 369 (2017) 8037-8059. arXiv:1311.5679. DOI: http://doi.org/10.1090/tran/6913. A. TRAN6913
240
Finding solvable units of variables in nonlinear ODEs of ECM degradation pathway network (with S. Kawasaki, D. Minerva, and K. Itano), Comp. Math. Mech. Medicine. 2017 (2017) 1-15. S, ID5924270. Open https://doi.org/10.1155/2017/5924270
239
Global-in-time behavior of weak solution to reaction diffusion system with inhomogeneous Dirichlet boundary condition (with M. Pierre and H. Umakoshi), Nonlinear Anal. 159 (2017) 393-407. ABN. DOI. 10.1016/j.na.2017.01.013
238
A priori bounds for superlinear elliptic equations with definite nonlinearity (with Y. Naito and Y. Toyota), http://dx.doi.org/10.1016/j.na.2016.11.016, Nonlinear Analysis 151 (2017) 18-40
237
Reaction enhancement by chemotaxis in a model describing fertization of corals (with E. Espejo), Nonlinear Analysis: Real World Applications 35 (2017) 102-131
236
Relaxation theory for point vortices (with K. Sawada), In; Vortex Structures in Fluid Dynamic Problems (H. Perez-de-Tejada ed.), INTECH 2017. Chapter 11, 205-224. ISBN 978-943-51-4886-9
235
Free boundary problem for cell protrusion formations: theoretical and numerical aspects (with O. Gallinato, M. Ohta, C. Poignard), J. Math. Biol. 75 (2017) 263-307, DOI:10.1007/s00285-016-1018-8
234
Critical blowup exponent to a class of semilinear elliptic equations with constraints in higher dimensions - local properties (with R. Takahashi), Ann. Mate. Pura Appl. 195 (2016) 1123-1151. DOI:10.1007/s10231- 015-0508-9
233
A mathematical study on the system of partial differential equations describing reverse-flow reactor (R.B.E. Wibowo, T. Suzuki, and R. Takahashi), DOI 10.3846/1392692.2016.1186756. Mathematical Modeling and Analysis 21 (2016) 550-568
232
First and second Hadamard variational formulae of the Green function for general domain perturbations (with T. Tsuchiya), J. Math. Soc. Japan 68 (2016) 1389-1419
231
Global classical solutions for mass-conserving, (super)-quadratic reactiondiffusion systems in three and higher space dimensions (with K. Fellner, E. Latos), Discrete Cont. Dyn. Syst. B 21 (2016) 3441-3462. DOI:10.3846/1392,6292,2016.1186.756
230
Chemotaxis system with quadratic dissipation and logistic source (with E. Latos), Adv. Math. Sci. Appl. 15 (2016) 207-227
229
Almost collapse mass quantization in 2D Smoluchowski-Poisson equation, Math. Meth. Appl. Sci. 38 (2015) 3587-3600. DOI:10.1002/mma.3602. arXiv:1501.03627
228
Existence and uniqueness of mild solutions for fractional semilinear differential equations (with B.H. Guswanto), Electronic J. Differential Equations 2015 (2015) 168, 1-16
227
Dynamic regulation of a cell adhesion protein complex including CADM1 by combinatorial analysis of FRAP with exponential curve-fitting (M. Sakurai-Yagata, T. Maruyama, T. Suzuki, K. Ichikawa, Y. Murakami), PLos One (March 17 2015) DOI:10.1371/journal.pone.0116637
226
An analytic approach to the normalized Ricci flow-like equation: revisited (with N.I. Kavallaris), Applied Mathematics Letters 44 (2015) 30-33. DOI:10.1016/j.aml.2014.12.009
225
Blowup in infinite time for 2D Smoluchowski-Poisson equation, Differential Integral Equations 28 (2015) 601-630
224
Topics from special edition 細胞内シグナル伝達経路の数理モデリング, 細胞 51(2019-06), 360-364
223
222
221
Reaction terms avoiding aggregation in slow fluids, to appear in; Nonlinear Analysis Series B: RealWorld Applications
220
Blowup in innte time for 2D Smoluchowski-Poisson equation, to appear in: Differential Integral Equations
219
Global existence and blow up for a system describing the aggregation of micoglia, (with E.E. Espejo), Applied Mathematics Letters 35 (2014) 29-34.
218
Morse index of multiple blow-up solution to the two-dimensional Gel‘fand problem, (with F. Gladiali, M. Grossi, and H. Ohtsuka), to appear in; Comm. PDE
217
On a perturbed system of chemotaxis, II, (with M. Kurokiba and R. Takahashi), International J. Pure Appl. Math. 92 (2014) 305-334. DOI:10.12732/ijpam/v92i3.1
216
Roles of Raft-anchored adaptor Cbp/PAG1 in spatial regulation of c-Src kinase, (with T. Saitou, K. Kajiwara, C. Oneyama, T. Suzuki, M. Okada), PLos One.
215
Global-in-time behavior of Lotka-Volterra system with diffusion - skew symmetric case, (with Y. Yamada), Indiana Univ. Math. J. to appear
214
Global dymanics of a reaction-diffusion system with mass conservation, (with E. Latos), J. Math. Anal. Appl. 411 (2014) 107-118.
213
Brownian point vortices and DD-model, Discrete and Continuous Dynamical Systems S. 7 (2014) 161-176, doi:10.3934/dcdss/2014.7.161
212
211
Positive solution to semilinear parabolic equation associated with critical Sobolev exponent, (with M. Ishiwata), Nonlinear Differential Equations and Applications NoDEQ DOI 10.1007/s00030-01300221-6, 2013.
210
Critical role of transient activity of MT1-MMP for ECM degradation in invadopodia, (with A. Watanabe, D. Hoshino, N. Koshikawa, M. Seiki, T. Suzuki, K. Ichikawa), Plos Computational Biology 9-5 (2013) e1003086
209
Blowup threshold and collapse mass separation for a drift-diffusion system in space-dimension two, (with E.E. Espejo and M. Kurokiba), Comm. Pure Appl. Anal. 12 (2013) 305-334 doi:10/3934/cpaa.2013.12.
208
Exclusion of boundary blowup for 2D chemotaxis system provided with Dirichlet boundary condition for the Poisson part, J. Math. Pure Appl. 100 (2013) 347-367.
207
Irrotational blowup of the solution to compressible Euler equation, J. Fluid Mech. 15 (2013) 617-633 doi:10/s00021-012-0116-z
206
The phosphoinositide-bibding protein ZF21 regulates ECM degradation by invadopodia, (with D. Hoshino, M. Nagano, N. Koshikawa, T. Suzuki, and M. Seiki), Plos One 8(1) e50825 (2013), doi: 10/1371/journal.pone.0050825.
205
Duality and best constant for a Trudinger-Moser inequality involving probability measures, (with T. Ricciardi), to appear in; J. Euro Math. Soc.
204
Asymptotic non-degeneracy of multiple blowup solution to the Liouville-Gel’ fand problem with non-constant coefficient, (with H. Ohtsuka and T. Sato) JMAA, 398 (2013) 692-706 doi. 10.1016/j.jmaa.2012.09.028.
203
Global-in-time behavior of the solution to a Gierer-Meihardt system, (with G. Karali and Y. Yamada), DCDS-A 33 (2013) 2885-2900 doi:103934/dcds/2013.33.xx
202
Control and inhibition analysis of complex formatin processes, (with T. Saitou, K. Itano, D. Hoshino, N. Koshikawa, M. Seiki, K. Ichikawa, and T. Suzuki), Theoretical Biology and Medical Medelling, 9:33 (August 3, 2012)
201
Establishment and validation of computational model for MT1-MMP dependent ECM degradation and intervention strategies, (with D. Hoshino, N. Koshikawa, V. Quaranta, A. Weaver, M. Seiki, K. Ichikawa), PLoS Computational Biology 8-4 (2012) e1002479
200
Non-local reaction-diffusion system involving reaction radius II, rate of convergence, (with N. Kavallaris), to appear in; IMA J. Appl. Math. doi:10.1093/imamat/hxs032.
199
Transient and asymptotic dynamics of a prey-predator system with diffusion, (with E. Latos and Y. Yamada), Math. Meth. Appl. Sci. 35 (2012) 1101-1109.
198
Mathematical modeling of invadopodia formation, (with T. Saitou, M. Rouzimaimaiti, N. Koshikawa, M. Seiki, and K. Ichikawa), J. Theoretical Biology 298 (2012) 138-146. doi:10.1016/j.jtbi.2011.12.018.
197
Degenerate parabolic equation with critical exponent derived from the kinetic theory, III., ε-regularity, (with R. Takahashi), Differential and Integral Equations 25 (2012) 223-250.
196
Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species, (with E.E. Espejo and A. Stevens), preprint 64/2011, Max-Planck Institute, http://www.mis.mpg.de/publications/preprints/2011, Differential and Integral Equations 25 (2012) 251-288.
195
Stationary solutions to a strain-gradient type thermoviscoelastic system, (with I . Pawlow and S. Tasaki), Differential and Integral Equations 25 (2012) 289-340.
194
Non-local reaction-diffusion system involved by reaction radius I, (with N. Kavallaris), IMA J. Appl. Math. (2012) 1-19. doi:10.1093/imamat/hxr068
193
Weak formulation of Hadamard variation applied to the filtration problem, (with T. Tsuchiya), Japan J. Indu. Appl. Math. 28 (2011) 327-350.
192
Vanishing p-capacity of singular sets for p-harmonic functions, (with T. Sato and F. Takahashi), Electron J. Differential Equations (2011) no. 67, 1-15.
191
190
189
Stability of the steady state for multi-dimensional thermoelastic systems of shape memory alloys, (with S. Yoshikawa), Discrete and Continuous Dynamical Systems S 5-1, Special Issue (2012) 209-217. doi: 10.3934/dcdss.2012.5.209
188
Reaction diffusion equation with non-local term arises as a mean field limit of the master equation, (with K. Ichikawa and M. Rouzimaimaiti), Discrete and Continuous Dynamical Systems S 5-1, Special Issue (2012) 115-126. doi:10/3934/dcdss.2012.5.11
187
Stochastic simulation of biological reactions, and its applications for studying actin polymerization, (with K. Ichikawa and N. Murata), Physical Biology 7 (2010) 046010.
186
185
A combined scheme for computing numerical solutions of a free boundary problem, (with N.L.Othman and T.Tsuchiya), Inter. J. Math. Comp. Simu. 1 (2011) 53-60.
184
Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel‘fand problem in two space dimensions, (with M. Grossi and H. Ohtsuka), Adv. Differential Equations 16 (2011) 145-164.
183
Stationary solutions to a thermoelastic system on shape memory materials, (with S. Tasaki), Nonlinearity 23 (2010) 2623-2656.
182
Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence, (with T. Ricciardi and H. Ohtsuka), J. Differential Equations 249 (2010) 1436-1465.
181
Mathematical models of tumor growth systems, Mathematica Bohemica 137 (2012) 201-218.
180
Semilinear parabolic equation in R^N associated with critical Sobolev exponent, (with R. Ikehata and M. Ishiwata), Ann. Inst. H. Poincare, Analyse nonlineaire 27 (2010) 877-900.
179
Degenerate parabolic equation with critical exponent derived from the kinetic theory, IV., structure of the blowup set, (with R. Takahashi), Adv. Differential Equations 15 (2010) 853-892.
178
An analytic approach to the normalized Ricci flow-like equation, (with N. Kavallaris), Nonlinear Analysis 72 (2010) 2300-2317.
177
Stationary solutions to the Falk system on shape memory alloys, (with S. Tasaki), Math. Meth. Appl. Sci. 33 (2010) 994-1011.
176
175
174
Degenerate parabolic equation with critical exponent derived from the kinetic theory, II., blowup threshold, (with R. Takahashi), Differential and Integral Equations 22 (2009) 1153-1172.
173
Global in time solution to a class of tumor growth systems, (with R. Takahashi), Adv. Math. Sci. Appl. 19 (2009) 503-524.
172
171
Stationary Fix-Caginalp equation with non-local term, (with S. Tasaki), Nonlinear Analysis 71 (2009) 1329-1349.
170
Rigorous derivation of the mean field equation for a point vortex system, (with K. Sawada), Theoretical and Applied Mechanics Japan 57 (2009) 233-239.
169
Degenerate parabolic equation derived from the kinetic theory, (with R. Takahashi), Theoretical and Applied Mechanics Japan 57 (2009) 185-190.
168
Degenerate parabolic equation with critical exponent derived from the kinetic theory, I., generation of the weak solution, (with R. Takahashi), Adv. Differential Equations 14 (2009) 433-476.
167
Derivation of the equilibrium mean field equations of point vortex system and vortex filament system, (with K. Sawada), Theoretical and Applied Mechanics Japan 56 (2008) 285-290.
166
Weak solutions to the Navier-Stokes-Poisson equation, (with T. Kobayashi), Advances in Mathematical Sciences and Applications 16 (2008) 141-168.
165
Touchdown and related problems in electrostatic MEMS device equation, (with N.I. Kavallaris and T. Miyasita), Nonlinear Differential Equations and Applications 15 (2008) 363-385.
164
Seminlinear parabolic equation on bounded domain with critical Sobolev exponent, Indiana University Mathematics Journal 57 (2008) 3365-3396.
163
Nonlinear eigenvalue problem with quantization, (with F. Takahashi), Handbook of Differential Equations, Stationary Partial Differential Equations 5 (M. Chipot, ed.), pp. 277-370, Elsevier, Amsterdam, 2008.
162
161
Local property of the mountain-pass critical point and mean field equation, (with H. Ohtsuka), Differential and Integral Equations 21 (2008) 421-432.
160
159
Derivation of the equilibrium mean field equations of point vortex system and vortex filament system, (with K. Sawada), Theoretical and Applied Mechanics Japan 56 (2008) 285-290.
158
Variational and scaling properties of self-interacting fluids and their mass quantizations, Theoretical and Applied Mechanics Japan 56 (2008) 207-213.
157
156
Capacity estimate for the blow-up set of parabolic equations, (with F. Takahashi), Math. Z. 259 (2008) 867-878.
155
Asymptotic behavior of the solution to the non-isothermal phase separation, (with A. Ito), Nonlinear Analysis 68 (2008) 1825-1843.
154
Self-Similarity in Chemotaxis Systems, (with Y. Naito), Colloquium Mathematics 111 (2008) 11-34.
153
On a perturbed system of chemotaxis, (with M. Kurokiba), International J. Mathematical Analysis 1 (2007) 1261-1272.
152
Stability of the steady state for the Falk model system of shape memory alloys, (with S. Yoshikawa), Math. Meth. Appl. Sci. 30 (2007) 2233-2245.
151
Blowup in infinite time in the simplified system of chemotaxis, (with H. Ohtsuka and T. Senba), Adv. Math. Sci. Appl. 17 (2007) 445-472.
150
Method of the blowup envelope and applications, Adavanced Studies in Pure Mathematics 47-2, Asymptotic Analysis and Singularity, 519-542, 2007.
149
148
147
146
145
Mathematical models of tumour angiogenesis, (with A. Kubo), J. Comput. Appl. Math. 204 (2007), No.1, 48-55.
144
Asymptotic non-degeneracy of the solution to the Liouville-Gel‘fand problem in two dimensions, (with T. Sato), Comment. Math. Helv. 82 (2007) 353-369.
143
On the finite-time blowup of a parabolic equation describing chemotaxis, (with N. Kavallaris), Differential and Integral Equations. 20 (2007) 293-308.
142
Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity, (with Y. Naito), J. Differential Equations 232 (2007) 176-211.
141
Blowup analysis for SU(3) Toda system, (with H. Ohtsuka), J. Differential Equations 232 (2007) 419-440.
140
Mean field equation for equilibrium vortices with neutral orientation, (with K. Sawada and F. Takahashi), Nonlinear Analysis 66 (2007) 509-526.
139
Asymptotic behavior of the solution to the non-isothermal phase field equation, (with A. Ito), Nonlinear Analysis 64 (2006) 2454-2479.
138
On one-dimensional phase field model of Penrose-Fife type, (with A. Ito), in; Mathematical Approach to Nonlinear Phenomena: Modelling, Analysis and Simulation, Kenmochi, N., ed., pp. 129-146, Gakkotosho, Tokyo, 2006.
137
Clustering applied to the acoustic source localization, (with T. Iga), Computers and Mathematics with Applications 52 (2006) 671-676.
136
A blowup analysis to the mean field equation for arbitrarily-signed vortex, (with H. Ohtsuka), Banach Center Publications 74 (2006) 185-197.
135
Interface vanishing for solutions to Maxwell and Stokes Systems, (with T. Kobayashi and K. Watanabe), J. math. fluid. mech. 8 (2006) 382-397.
134
A quasi-linear parabolic system of chemotaxis, (with T. Senba), Abstract and Applied Analysis, 2006, Article ID23061.
133
Mean field equation for the equilibrium turbulence and a related functional inequality, (with H. Ohtsuka), Adv. Differential Equations 11 (2006) 281-304.
132
-
131
-
130
On non-topological multivortex condensates in the generalized self-dual Cherns-Simons theory, (with F. Takahashi), In; Recent Advances in Elliptic and Parabolic Problems (ed. C.-C. Chen, M. Chipot, and C.-S. Lin), pp. 259-270, World Scientific, New Jersey, 2005.
129
Weak solutions to the Navier-Stokes-Poisson equations, (with T. Kobayashi), Proceedings of the 5th East Asia PDE Conference (ed. H.J. Choe, C.-S. Lin, T. Suzuki, and J. Wei), pp. 173-178, Gakkotosho, Tokyo, 2005.
128
Nehari principle and $H$-systems, (with Y. Matsuzawa), Proceedings of the 5th East Asia PDE Conference (ed. H.J. Choe, C.-S. Lin, T. Suzuki, and J. Wei), pp. 179-204, Gakkotosho, Tokyo, 2005.
127
Asymptotic behavior of soltuions to a parabolic ode system, (with A. Kubo and H. Hoshino), Proceedings of the 5th East Asia PDE Conference (ed. H.J. Choe, C.-S. Lin, T. Suzuki, and J. Wei), pp. 121-136, Gakkotosho, Tokyo, 2005.
126
Asymptotic behavior of the solution to Othmer-Stevens model, (with A. Kubo and H. Hoshino), Wseas Transactions on Biology and Biomedicine, Issue 1 2 (2005) 45-50.
125
Some existence results for solutions to $SU(3)$ Toda system, (with D. Chae and H. Ohtsuka), Calc. Vari. 24 (2005) 403-429.
124
Finite element approximation for degenerate parabolic equations, (with A. Mizutani and N. Saito), ESIAM: Mathematical Modelling and Numerical Analysis 39 (2005) 755-780.
123
Inhomogeneous elliptic equation associated with critical Sobolev exponents, (with K. Narukawa), Communications in Applied Analysis 9 (2005) 505-525.
122
Notes on finite difference schemes to a parabolic-elliptic system modelling chemotaxis, (with N. Saito), Appl. Math. Comp. 171 (2005) 72-90.
121
Convexity and uniqueness of the solution to the Liouville equation, (with T. Sato), International J. Pure and Applied Mathematics 23 (2005) 1-21.
120
Parallel optimization applied to magenetoencephalograpy, J. Comp. Appl. Anal. 183 (2005) 177-190.
119
Convergence analysis of trial free boundary methods for the two-dimensional filtration problem, (with T. Tsuchiya), Numer. Math. 100 (2005) 537-564.
118
Blow-up analysis for Liouville type equation in self-dual gauge field theories, (with H. Ohtsuka), Communications in Contemporary Analysis 7 (2005) 177-205.
117
Asymptotic behavior of the solution to a parabolic-ODE system modeling tumour growth, (with A. Kubo), Differential and Integral Equations 17 (2004) 721-736.
116
Existence of the non-topological condensate in self-dual Chern-Simons gauge theory, (with F. Takahashi), Adv. Differential Equations 9 (2004) 539-562.
115
Non-local Gel‘fand problem in higher dimension, (with T. Miyasita), Nonlocal Elliptic and Parabolic Problems (ed. P. Biler, G. Karch, and T. Nadzieja), Banch Center Publications 66 (2004) 221-235.
114
Non-topological condensates in self-dual Chern-Simons gauge theory, (with F. Takahashi), Nonlocal Elliptic and Parabolic Problems (ed. P. Biler, G. Karch, and T. Nadzieja), Banch Center Publications 66 (2004) 317-336.
113
Chemotactic collapse of radial solutions to Jager-Luckhaus system, (with T. Senba), Adv. Math. Sci. Appl. 14 (2004) 241-250.
112
Self-similar solutions to a nonlinear parabolic - elliptic system, (with Y. Naito), Taiwanise J. Math. 8 (2004) 43-55.
111
Energy transport problem for self-gravitating particles, Taiwanise J. Math. 8 (2004) 1-14.
110
A new optimization technique for the inverse problem in magnetoencepharography, (with J. Ohama, Y. Adachi, T. Shimozu, M. Kawabata, M Miyamaoto), 4th International Symposium on Noninvasive Functional Source Imagaint within the Human Brain and Heart.
109
-
108
Interface regularity for Maxwell and Stokes systems, (with T. Kobayashi and K. Watanabe), Osaka J. Math. 40 (2003) 925-944.
107
Study on the integral equation arising in electroencephalography, (with A. Kubo), Adv. Math. Sci. Appl. 13 (2003) 273-285.
106
Mass quantization of the non-equilibrium mean field to self-interacting particles, Dynamics of Continuous, Discrete and Impulsive Systems 10 (2003) 693-720.
105
Mass normalization of collapses in the theory of self-interacting particles, Adv. Math. Sci. Appl. 13 (2003) 611-623.
104
Blowup behavior of solutions to rescaled Jager-Luckhaus system, (with T. Senba), Adv. Differential Equations 8 (2003) 787-820.
103
Palais-Smale sequence relative to the Trudinger-Moser inequality, (with H. Ohtsuka), Calc. Vari. 17 (2003) 235-255.
102
Finite element approximation of $H$-surfaces, (with Y. Matsuzawa and T. Tsuchiya), Math. Comp. 72 (2003) 607-617.
101
-
100
Time global solutions to a parabolic-elliptic system modelling chemotaxis, (with T. Senba), Asymptotic Analysis 32 (2002) 63-89.
99
Self-similar solutions to a parabolic system modelling chemotaxis, (with Y. Naito and K. Yoshida), J. Differential Equations 184 (2002) 386-421.
98
Weak solutions to a parabolic system of chemotaxis, (with T. Senba), J. Func. Anal. 191 (2002) 17-51.
97
-
96
Parabolic system of chemotaxis: blowup in a finite and the infinite time, (with T. Senba), Meth. Appl. Anal. 8 (2001) 349-368.
95
Current states and problems in magnetoencephalography, (in Japanese, with Y. Adachi and M. Shimogawara), Bull. Japan Soc. Indu. Appl. Math. 11 (2001) 13-26.
94
Mathematical foundations for some numerical methods in magnetoencephalography, (with Y. Adachi, H. Kado, N. Saito, and M. Shimogawara), In; J. Nenonen, R.J. Ilmoniemi, and T. Katila, (eds.), Biomag2000, Proc. 12th Int. Conf. on Biomagnetism, Helsinki Univ. of Technology, Espoo, Finland, 2001,pp. 0644-0646.
93
Behavior of solutions to a system related to chemotaxis, (with T. Senba), Nonlinear Anal. 47 (2001) 2551-2562.
92
Concentration lemma, Brezis-Merle type inequality, and a parabolic system of chemotaxis, (with G. Harada, T. Nagai, and T. Senba), Adv. Differential Equations 6 (2001) 1255-1280.
91
Chemotactic collapse in a parabolic - elliptic system of mathematical biology, (with T. Senba), Adv. Differential Equations 6 (2001) 21-50.
90
Chemtactic collapse in a parabolic system of mathematical biology, (with T. Nagai and T. Senba), Hiroshima Math. J. 30 (2001) 463-497.
89
A note on the stability of stationary solutions to a system of chemotaxis, Communications in Contemporary Mathematics 2 (2000) 373-383.
88
Some structures of stationary solutions to Keller-Segel model, (with T. Senba), In; Kenmochi, N. (ed.), Proc. International Conference on Free Boundary Problems, Theory and Applications, Gakkotosho, Tokyo, 2000, pp. 282-297.
87
Local and norm behavior of blowup solutions to a parabolic system of chemotaxis, (with T. Senba), J. Korean Math. Soc. 37 (2000) 929-942.
86
Radial symmetry of self-similar solutions for semilinear heat equations, (with Y. Naito), J. Differential Equations 163 (2000) 407-428.
85
Some structures of the solution set for a stationary system of chemotaxis, (with T. Senba), Adv. Math. Sci. Appl. 10 (2000) 191-224.
84
Singular solutions for a nonlinear Dirichlet problem, (with A. Hamatake), Comm. Appl. Anal. 4 (2000) 411-432
83
Semilinear parabolic equations involving critical Sobolev exponent: local and asymptotic behavior of solutions, (with R. Ikehata), Differential and Integral Equations 13 (2000) 869-901.
82
-
81
Blow-up criteria for semilinear parabolic equations, (with A. Kohda), J. Math. Anal. Appl. 243 (2000) 127-139.
80
On a class of L1-illposed quasilinear parabolic equations, (with S. Sakaguchi), Adv. Differential Equations 4 (1999) 671-696.
79
Parameter descending method and the magnetoencephalography, (with Y. Adachi and H. Kado), Information 2 (1999) 443-458.
78
A note on the moving sphere method, (with Y. Naito), Pacific J. Math. 189 (1999) 107-116.
77
A note on the blow-up pattern for a parabolic equation, (with A. Kohda), J. Math. Tokushima Univ. 32 (1998) 19-25.
76
Two dimensional elliptic equation with critical nonlinear growth, (with T. Ogawa), Trans. Amer. Math. Soc. 350 (1998) 4897-4918.
75
Radial symmetry of positive solutions for semilinear elliptic equations on the unit ball in R^n, (with Y. Naito), Funkcial Ekvac. 41 (1998) 215-234.
74
Interior imperfect ignition can not occur on a set of positive measure, (with S. Sakaguchi), Arch. Rational Mech. Anal. 142 (1998) 143-153.
73
Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition, (with S. Sakaguchi), Nonlinear Anal. 31 (1998) 665-669.
72
-
71
-Δ u =λexp (α u )/ (α + u)$ v.s. -Δ u = λexp u,, In; Nonlinear Waves, Gakkotosho, Tokyo, 1997, pp. 469-474.
70
An L∞ bound of the finite element approximation of piecewise linear trial functions, (with Y. Matsuzawa), Adv. Math. Sci. Appl. 7 (1997) 997-1010.
69
-
68
Equations of gas combustion: S-shaped bifurcation and mushrooms, (with N. Mizoguchi), J. Differential Equations 134 (1997) 183-215.
67
Curved moving planes and applications, Proc. Korea-Japan Partial Diffential Equations Conference (H.J. Choe and H.-O. Bae ed.), Lecture Notes Series 39 (1997) Research Institute of Global Analysis Research Center, Seoul National University
66
Oscillatory theorem and pendent liquid drops, (with K. Narukawa), Pacific J. Math. 176 (1996) 407-420.
65
Radial symmetry of positive solutions for semilinear elliptic equations in a disc, (with Naito, Y., Nishimoto, T.), Hiroshima Math. J. 26 (1996) 531-545.
64
Stable and unstable sets for evolution equations of parabolic and hyperbolic type, (with R. Ikehata), Hiroshima Math. J. 26 (1996) 475-491.
63
Positive solutions for semilinear elliptic equations on expanding annului: mountain pass approach, Funkcial. Ekvac. 39 (1996) 143-164.
62
Semilinear elliptic equations on annulus for three and other space dimensions, (with N. Mizoguchi), Houston J. Math. 22 (1996) 199-215.
61
On the iterative and minimizing sequences for semilinear elliptic equations, II, (with A. Mizutani), Japan J. Indu. Appl. Math. 13 (1996) 1-17.
60
Nonlinear elliptic equations with critical growth related to the Trudinger inequality, (with T. Ogawa), Asymptotic Analysis 10 (1995) 25-40.
59
On the iterative and minimizing sequences for semilinear elliptic equations, I., (with A. Mizutani), Japan J. Indu. Appl. Math. 12 (1995) 309-326.
58
Microscopic asymptotics for solutions of some semilinear elliptic equations, (with T. Ogawa), Nagoya Math. J. 138 (1995) 33-50.
57
Trudinger‘s inequality and related nonlinear elliptic equations in two dimensions, (with T. Ogawa), In; Yajima, K. (ed.), Spectral and Scattering Theory and Applications, Birkhauser, Basel, 1994, pp. 283-294.
56
Spectral and related properties about the Emden-Fowler equation -Δ u = λexp u on circular domains, (with K. Nagasaki), Math. Ann. 299 (1994) 1-15.
55
Nonlinear eigenvalue problem for a modified capillary surface equation, (with K. Narukawa), Funkcial. Ekvac. 37 (1994) 81-100.
54
Some remarks about the singular perturbed solutions for Emden-Fowler equation with exponential nonlinearity, In; Komatsu, H. (ed.), Functional Analysis and Related Topics, Lecture Notes in Math. 1540, Springer, Berlin, 1993, pp. 341-360.
53
A parabolic inverse problem arising in a mathematical model for the chromatography, (with T. Kimura), SIAM J. Appl. Math. 53 (1993) 1747-1761.
52
Remarks on the blowup shape for a semilinear parabolic equation, Proc. Second GARC Symposium on Pure and Applied Mathematics (S.K. Kim and H.J. Choe ed.), Lecture Notes Series 17 (1993) Research Institute of Global Analysis Research Center, Seoul National University
51
Two dimensional Emden-Fowler equation with exponential nonlinearity, In; Lloyd, N.G., Ni, W.M., Peletier, L.A., Serrin, J. (eds.), Nonlinear Diffusion Equations and their Equibrium States 3, Birkhauser, Boston, 1992, pp. 493-512.
50
Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity, Ann. Inst. H. Poincare , Analyse nonlineaire 9 (1992) 367-398.
49
Radial solutions for Δ u+λexp u=0 on annului in higher dimensions, (with K. Nagasaki) J. Differential Equations 100 (1992) 136-161.
48
Evolution Problems, (with H. Fujita), Part 6 of Handbook of Numerical Analysis 2, Finite Element Methods, Part 1, Ciarlet, P.G., Lions, J.L. (eds.), Elsevier Science Publishers, Amsterdom, 1991, pp. 793-926.
47
Introduction to geometric potential theory, In; Fujita, H., Ikebe, T., Kuroda, S.T. (eds.), Functional-Analytic Methods in Partial Differential Equations, Lecture Notes in Math. 1450, Springer, Berlin, 1990, pp. 88-103.
46
Asymptotic analysis for two-dimensional elliptic eigenvalue problems with exponentially-dominated nonlinearities, (with K. Nagasaki), Asymptotic Analysis 3 (1990) 173-188.
45
Radial and nonradial solutions for the nonlinear eigenvalue problem Δu + λexp u=0 on annului in R², (with K. Nagasaki), J. Differential Equations 87 (1990) 144-168.
44
Nonlinear eigenvalue problem associated to capillary surfaces, (with K. Narukawa), Boll. U. M. I. (7) 4-B (1990) 223-241.
43
Mathematical contributions of Professor Hiroshi Fujita, (with K. Masuda), J. Fac. Sci. Univ. Tokyo Sect. IA Math 36 (1989), no.3, i-v.
42
Asymptotic behavior of the solution for an elliptic boundary value problem with exponential nonlinearity, (with K. Nagasaki), Proc. Japan Acad. Ser. A 65 (1989) 74-76.
41
Nonlinear eigenvalue problem Δ u+λexp u=0 on simply connected domains in R2, (with K. Nagasaki), Proc. Japan Acad. Ser. A 65 (1989) 1-3.
40
Symmetric domains and elliptic equations, In; Mimura, M., Nishida, T. (eds.), Recent Topics in Nonlinear PDE IV, Lecture Notes in Numer. Appl. Anal. 10, Kinokuniya, Tokyo, 1989, pp. 153-177.
39
Radial and nonradial solutions for semilinear elliptic equations on circular domains, In; Talenti, G. (ed.), Symp. Math. 30, Academic Press, London, 1989, pp.153-174.
38
Ultra-hyperbolic approach to some multi-dimensional inverse problems, Proc. Japan Acad. Ser. A 64 (1988) 361-363.
37
Ultra-hyperbolic approach to some multi-dimensional inverse problems, Proc. Japan Acad. Ser. A 64 (1988) 361-363.
36
Single-point blow-up for semilinear heat equations in some nonradial domains, (with Y.G. Chen), Proc. Japan Acad. Ser. A 64 (1988) 57-60.
35
Lifting of local subdifferentiations and elliptic boundary value problems on symmetric domains, II., (with K. Nagasaki), Proc. Japan Acad. Ser. A 64 (1988) 29-34.
34
Lifting of local subdifferentiations and elliptic boundary value problems on symmetric domains, I., (with K. Nagasaki), Proc. Japan Acad. Ser. A 64 (1988) 1-4.
33
Stability of an inverse hyperbolic problem, Inverse Problems 4 (1988) 273-299.
32
On the nonlinear eigenvalue problem Δ u + λexp u=0, (with K. Nagasaki), Trans. Amer. Math. Soc. 39 (1988) 591-608.
31
Recent topics in nonlinear PDE. III. Papers from the fourth meeting on nonlinear partial differential equations held at the University of Tokyo, February 24-26, 1986, North-Holland Mathematics Studies, 148. Lecture notes in Numer. Appl. Anal. 9, Kinokuniya, Tokyo, 1987.
30
On a multi-dimensional inverse problem related to the Gel‘fand-Levitan theory, In; Knowles, I.W., Saito, Y. (eds.), Differential Equations and Mathematical Physics, Lecture Notes in Math. 1285, Springer, Berlin, 1988.
29
On a nonlinear eigenvalue problem, (with K. Nagasaki), In; Masuda, K., Suzuki, T. (eds.), Recent Topics in Nonlinear PDE III, Lecuter Notes in Numer. Appl. Anal. 8, Kinokuniya, Tokyo, 1987, pp. 185-218.
28
Observability, controllability, and feedback stabilizability for evolution equations, III., (with M. Yamamoto), Japan J. Appl. Math. 4 (1987) 185-203.
27
Gel‘fand-Levitan‘s theory and related inverse problems, In; Cannon, J.R., Hornung, U. (eds.), Inverse Problems, Birkh\"auser, Bases, 1986, pp. 163-172.
26
On a multi-dimensional inverse parabolic problem, Proc. Japan Acad. Ser. A 58 (1986) 83-86.
25
A remark on the L∞ bounds of the Ritz operator associated with a finite element approximation, (with H. Fujita), Numer. Math. 49 (1986) 529-544.
24
Non-harmonic Fourier series and its applications, (with K. Narukawa), Appl. Math. Optim. 14 (1986) 249-264.
23
Inverse problems for heat equations on compact intervals and on circles, I., J. Math. Soc. Japan 38 (1986) 39-65.
22
Stability of boundary identification for hyperbolic equations, Proc. IMACS-IFAC Symposium on Modelling and Simulation for Control of Lumped and Distributed Parameter Systems, Villeneuve D‘ASCQ, France, 1986.
21
Observability, controllability, and feedback stabilizability for evolution equations, II., (with M. Yamamoto), Japan J. Appl. Math. 2 (1985) 309-327.
20
Observability, controllability, and feedback stabilizability for evolution equations, I., (with M. Yamamoto), Japan J. Appl. Math. 2 (1985) 211-228.
19
Gel‘fand-Levitan‘s theory, deformation formulas, and inverse problems, J. Fac. Sci. Univ. Tokyo, Sec. IA 32 (1985) 223-271.
18
On the inverse Strum-Liouville problem for spatially symmetric operators, III., J. Differential Equations 58 (1985) 257-281.
17
On the inverse Strum-Liouville problem for spatially symmetric operators, II., J. Differential Equations, 58 (1985) 243-256.
16
On the inverse Strum-Liouville problem for spatially symmetric operators, I., J. Differential Equations 56 (1985) 165-194.
15
A stability theorem on the boundary identification for coefficients of hyperbolic equations, Proc. Japan Acad. Ser. A 60 (1984) 309-311.
14
Deformation formulas and their applications to spectral and evolutional inverse problems, In; Fujita, H., Lax, P.D., Strang, G. (eds.), Nonlinear Partial Differential Equations in Applied Sciences, North-Holland, Amsterdom, 1983, pp. 289-311.
13
Uniqueness and nonuniqueness in an inverse problem for the parabolic equation, J. Differential Equations 47 (1983) 296-316.
12
Inverse problems for the heat equation (in Japanese), Sugaku 34 (1982) 55-64.
11
Uniqueness and nonuniqueness in an inverse problem for parabolic equations, In; Glowinski, R., Lions, J.L. (eds.), Computing Methods in Applied Sciences and Engineering V, North-Holland, Amsterdom, 1982, pp. 659-668.
10
On a certain inverse problem for the heat equation on the circle, Proc. Japan Acad. Ser. A 58 (1982) 243-245.
9
Remarks on the uniqueness in an inverse problem for the heat equation, II., Proc. Japan Acad. Ser. A 58 (1982) 175-177.
8
Remarks on the uniqueness in an inverse problem for the heat equation, I., Proc. Japan Acad. Ser. A 58 (1982) 93-96.
7
Full-discrete finite element approximation of evolution equation ut + A(t)u=0 of parabolic type, J. Fac. Sci. Univ. Tokyo, Sec. IA 29 (1982) 195-240.
6
On the finite element approximation for evolution equations of parabolic type, (with H. Fujita), In; Glowinski, R., Lions, J.L. (eds.), Computing Methods in Applied Sciences and Engineering III, Lecture Notes in Math. 704, Springer, Berlin, 1981, pp. 207-221.
5
Certain moving sensors and observability for parablic equations, Numer. Func. Anal. Optim. 2 (1980) 279-300.
4
A uniqueness theorem in an identification problem for coefficients of parabolic equations, (with R. Murayama), Proc. Japan Acad. Ser. A 56 (1980) 259-263.
3
On some approximation theorems of evolution equations of parabolic type, In; Fujita, H., Yamaguchi, M. (eds.), Numerical Analysis of Evolution Equations, Lecture Notes in Numer. Appl. Anal. 1, Kinokuniya, Tokyo, 1979, pp. 63-82.
2
On the rate of convergence of the difference finite element approximation for parabolic equations, Proc. Japan Acad. Ser. A 54 (1978) 326-331.
1
An abstract study of Galerkin‘s method for the evolution equation ut + A(t)u=0 of parabolic type with the Neumann boundary condition, J. Fac. Sci. Univ. Tokyo, Sec. IA 25 (1978) 25-46.

RIMS Kokyuroku

59
Trudinger-Moser inequality for point vortex mean field limit with multi-intensities (with X. Zhang), Progress in Variational Problems : Variational Problems Interacting with Probability Theories, 数理解析研究所講究録 1837 (2013) 1-20.
58
Drift-Diffusion Model and 2d Brownian point vortices, Modern approach and developments to Onsager‘s theory on statistical vortices, 数理解析研究所講究録 1798 (2012) 213-229.
57
A Simple Derivation of Hadamard‘s Variational Formula(with T. Tsuchiya), Mathematical foundation and development of algorithms for scientific computing, 数理解析研究所講究録 1733 (2011) 127-141.
56
Smoluchowski-Poisson equation and harmonic heat flow - quantization observed in nonlinear analysis and diffusion geometry, The progress and view of Harmonic Map Theory, 数理解析研究所講究録 1720 (2010) 37-67.
55
形状記憶合金ワイヤーの運動を記述する熱弾性方程式の導出 (with S. Okabe and S. Yoshikawa), 非線形発展方程式と現象の数理, 数理解析研究所講究録 1693 (2010) 1-10.
54
On a semilinear elliptic equation with subcritical exponent in higher dimensional space (with R. Takahashi), 変分問題とその周辺, 数理解析研究所講究録 1671 (2009) 96-112.
53
Degenerate parabolic equation derived from kinetic theory, revisited (with R. Takahashi), 変分問題とその周辺, 数理解析研究所講究録 1628 (2009) 116-137.
52
Degenerate parabolic equation derived from kinetic theory, 変分問題とその周辺, 数理解析研究所講究録 1591 (2008) 164-188.
51
Mass quantization in equilibrium self-gravitating fluid, 変分問題とその周辺, 数理解析研究所講究録 1528 (2007) 182-210.
50
On a non-local equation describing the ricci flow (with N.I. Kavallaris), 変分問題とその周辺, 数理解析研究所講究録 1528 (2007) 1-11.
49
Field variation and mathematics of blowup (with N. Saito), Computational science : Fundamental and emerging technology, 数理解析研究所講究録 1505 (2006) 106-120.
48
Mathematical models of tumour angiogenesis and simulations (with A. Kubo and N. Saito), Theory of bio-mathematics and its applications, 数理解析研究所講究録 1499 (2006) 135-146.
47
Weak solutions to the Navier-Stokes-Poisson equations (with T. Kobayashi), Mathematical analysis in fluid and gas dynamics : A conference in honor of Professor Tai-Ping Liu on his 60th Birthday, 数理解析研究所講究録 1495 (2006) 1-7.
46
定常乱流の平均場について (with K. Sawada), Nonlinear wave phenomena and applications, 数理解析研究所講究録 1483 (2006) 35-50.
45
Closed dissipative systems : the sealed variation, 変分問題とその周辺, 数理解析研究所講究録 1464 (2006) 122-144.
44
Asymptotic non-degeneracy of the solution to the Liouville equation (with T. Sato), 変分問題とその周辺, 数理解析研究所講究録 1464 (2006) 82-92.
43
星雲方程式の弱解について (with T. Kobayashi), 波の非線形現象の数理とその応用, 数理解析研究所講究録 1430 (2005) 76-80.
42
Blowup in infinite time in the simplified system of chemotaxis (with H. Ohtsuka and T. Senba), Dynamics of spatio - temporal patterns for the system of reaction - diffusion equations, 数理解析研究所講究録 1416 (2005) 30-63.
41
Blowup analysis for $SU(3)$ Toda system (with H. Ohtsuka), 変分問題とその周辺, 数理解析研究所講究録 1405 (2004) 73-99.
40
On non-topological multivortex condensates in the generalized self-dual Chern-Simons theory (with F. Takahashi), 変分問題とその周辺, 数理解析研究所講究録 1405 (2004) 1-13.
39
Eigenvalue problem of semilinear elliptic equation with non-local term (with T. Miyasita), Mathematical models and dynamics of functional equations, 数理解析研究所講究録 1372 (2004) 44-50.
38
Interface vanishing for solutions to Maxwell and Stokes systems (with T. Kobayashi and K. Watanabe), Nonlinear wave phenomena and applications, 数理解析研究所講究録 1368 (2004) 65-71.
37
A blowup mechanism with high emergence : theory of self-organization, 変分問題とその周辺, 数理解析研究所講究録 1347 (2003) 96-118.
36
A finite difference scheme to the system of self-interacting particles (with N. Saito), The numerical solution of differential equations and linear computation, 数理解析研究所講究録 1320 (2003) 18-28.
35
ダム問題に対する反復解法の収束 (with T. Tuchiya), The numerical solution of differential equations and linear computation, 数理解析研究所講究録 1320 (2003) 1-6.
34
Mass normalization of callapses in the theory of self-interacting particles, Mathematical aspects and applications of nonlinear wave phenomena, 数理解析研究所講究録 1311 (2003) 124-139.
33
Field and particles - the quantized blowup mechanism, 変分問題とその周辺, 数理解析研究所講究録 1307 (2003) 189-211.
32
Numerical solutions for nonlinear semigroup and degenerate parabolic equations (with N. Saito), Dynamics of functional equations and related topics, 数理解析研究所講究録 1254 (2002) 32-40.
31
Self-interacting particles - the quantized blowup mechanism, International Conference on Reaction-Diffusion Systems: Theory and Applications, 数理解析研究所講究録 1249 (2002) 103-116.
30
New solver to the ill-posed problem in magnetoencephalography (with N. Saito, Y. Adachi, H. Kado and M. Simogawara), 変分問題とその周辺, 数理解析研究所講究録 1237 (2001) 29-48.
29
Integral equations for electroencephalography (with A. Kubo), Qualitative theory of functional equations and its application to mathematical science, 数理解析研究所講究録 1216 (2001) 1-12.
28
選好空間を構成せずに議案行動より直接計算する非対称Banzhaf指数の一考察 (with R. Endo and K. Ano), Nonlinear evolution equations and applications, 数理解析研究所講究録 1207 (2001) 128-135.
27
Self-similar solutions to a parabolic system modelling chemotaxis (with Y. Naito and K. Yoshida), Nonlinear evolution equations and applications, 数理解析研究所講究録 1197 (2001) 189-195.
26
Concentration behavior of blow-up solutions for a simplified system of chemotaxis (with T. Nagai and T. Senba), 変分問題とその周辺, 数理解析研究所講究録 1181 (2001) 140-176.
25
Mathematical analysis for a simplified system of chemotaxis, Nonlinear diffusive systems - dynamics and asymptotic analysis, 数理解析研究所講究録 1178 (2000) 95-117.
24
Blow-up criteria for semilinear parabolic equations (with A. Kohda), Nonlinear evolution equations and their applications, 数理解析研究所講究録 1135 (2000) 1-14.
23
The behavior of blow-up solutions of Keller-Segel systems (with G. Harada), Mathematical models in functional equations, 数理解析研究所講究録 1128 (2000) 148-155.
22
Chemotactic collapse in a parabolic-elliptic system of mathematical biology (with T. Senba), 変分問題とその周辺, 数理解析研究所講究録 1117 (1999) 64-97.
21
Nonsymmetric Indices of Power and their Application to the House of Councilors in Japan (with K. Ano and S. Susumi), Continuous and Discrete Mathematics for Optimization, 数理解析研究所講究録 1114 (1999) 126-138.
20
Radial symmetry of self-similar solutions for semilinear heat equations (with Y. Naito), Methods and applications for functional equations, 数理解析研究所講究録 1083 (1999) 181-186.
19
Mathematics of a slime mold equation: variational structure and dynamical systems, Methods and applications for functional equations, 数理解析研究所講究録 1083 (1999) 134-153.
18
Blow-up phenomena for solutions to parabolic equations: what‘s the problem now?, Nonlinear mathematics and functional equations, 数理解析研究所講究録 1034 (1998) 52-64.
17
Keller-Segel system and the concentration lemma (with T. Nagai and T. Senba), 変分問題とその周辺, 数理解析研究所講究録 1025 (1998) 75-80.
16
On the family of singular solutions to certain nonlinear elliptic boundary value problems (with A. Hamatake), Structure of functional equations and mathematical methods, 数理解析研究所講究録 984 (1997) 138-146.
15
Nehari‘s principle and the critical exponent, 変分問題とその周辺, 数理解析研究所講究録 951 (1996) 76-84.
14
Asymptotics for solutions of the two-dimensional nonlinear elliptic equations with critical growth, 変分問題とその周辺, 数理解析研究所講究録 911 (1995) 52-61.
13
Trudinger‘s inequality and related elliptic equations, Mathematical analysis of phenomena in fluid and plasma dynamics, 数理解析研究所講究録 824 (1993) 198-211.
12
対称性破壊 : 分岐論からの接近, 変分問題と非線型楕円型方程式, 数理解析研究所講究録 780 (1992) 122-140.
11
A parabolic inverse problem in chromatography (with T. Kimura), 発展方程式と非線型問題への応用, 数理解析研究所講究録 755 (1991) 127-133.
10
Asymptotic analysis for the Emden-Fowler equation - $\bigtriangleup u = \lambda e^u$, Mathematical analysis of phenomena in fluid and plasma dynamics, 数理解析研究所講究録 745 (1991) 183-192.
9
指数型非線形性の楕円型境界値問題 : 解の枝の大域的接続, Mathematical analysis of phenomena in fluid and plasma dynamics, 数理解析研究所講究録 734 (1990) 72-90.
8
Ultra-hyperbolic approach to some multi-dimensional inverse problems, 発展方程式とその応用, 数理解析研究所講究録 698 (1989) 74-93.
7
Semilinear equations with exponential nonlinearity, Solutions for nonlinear elliptic equations, 非線形楕円型偏微分方程式の解, 数理解析研究所講究録 679 (1989) 80-105.
6
Non-harmonic Fourier series とその応用, Mathematical theory of control and systems, 制御とシステムの数理, 数理解析研究所講究録 562 (1985) 30-47.
5
Inverse problems for hyperbolic equations ; the uniqueness and stability, 非線型偏微分方程式の理論と応用, 数理解析研究所講究録 545 (1985) 2-25.
4
Observability, controllability, and feedback stabilizability for evolution equations (with M. Yamamoto), 偏微分方程式の解の構造の研究, 数理解析研究所講究録 531 (1984) 62-85.
3
逆問題におけるある分岐の現象について, 制御とシステムの数理, 数理解析研究所講究録 485 (1983) 112-144.
2
放物型方程式の或る逆問題について (with R. Murayama), 偏微分方程式の解の構造の研究, 数理解析研究所講究録 376 (1980) 101-112.
1
放物型発展方程式の近似定理 - 有限要素法などへの作用素論的アプローチ, 偏微分方程式の解の構造の研究, 数理解析研究所講究録 357 (1979) 165-188.

ISM Reports on Statistical Computing

4
Finite element discretization and nonlinear semigroup theory, Proceedings of 1996-Workshop on MHD Computations - Numerical methods and optimization techniques in controlled thermonuclear fusion research - , ISM Reports on Statistical Computing 105 (1997) 219-228.
3
Interior imperfect ignition does not occur in positive measure, Proceedings of 1995-Workshop on MHD Computations - applied to the controlled thermonuclear fusion research based on MHD mathematical model - , ISM Reports on Statistical Computing 85 (1996) 55-58.
2
拡散効果のあるウイルスダイナミクスの漸近挙動 (第12回生物数学の理論とその応用 : 遷移過程に現れるパターンの解明に向けて) 佐々木 徹 , 鈴木 貴 数理解析研究所講究録 1994(2016-04), 171-177,
1
拡散効果のあるウイルスダイナミクスの漸近挙動 (第12回生物数学の理論とその応用 : 遷移過程に現れるパターンの解明に向けて : RIMS研究集会報告集) 佐々木 徹 , 鈴木 貴 数理解析研究所講究録 1994(2016-04), 171-177

PAGE TOP