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## Jimbo, Shuichi

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 Author ID: jimbo.shuichi Published as: Jimbo, S.; Jimbo, Shuichi
 Documents Indexed: 58 Publications since 1984, including 1 Book Reviewing Activity: 96 Reviews
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#### Co-Authors

 24 single-authored 18 Morita, Yoshihisa 4 Zhai, Jian 2 Kosugi, Satoshi 2 Maekawa, Yasunori 2 Ushikoshi, Erika 1 Chen, Chaonien 1 Chen, Xu-Yan 1 Kimura, Masato 1 Kozono, Hideo 1 Kurata, Kazuhiro 1 Morassi, Antonino 1 Mulet, Albert Rodríguez 1 Nakamura, Gen 1 Notsu, Hirofumi 1 Sakaguchi, Shigeru 1 Shirota, Kenji 1 Sternberg, Peter J. 1 Teramoto, Yoshiaki
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#### Serials

 8 Journal of Differential Equations 4 Proceedings of the Japan Academy. Series A 3 Journal of the Mathematical Society of Japan 3 Communications in Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 RIMS Kokyuroku 2 Journal of the Faculty of Science. Section I A 2 Japan Journal of Industrial and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Asymptotic Analysis 1 Sugaku Expositions 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences. University of Tokyo 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Far East Journal of Mathematical Sciences 1 Inverse Problems in Science and Engineering 1 Springer Proceedings in Mathematics & Statistics 1 Journal of Elliptic and Parabolic Equations
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#### Fields

 54 Partial differential equations (35-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Statistical mechanics, structure of matter (82-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 276 times in 150 Documents Cited by Year
The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition. Zbl 0703.35138
Jimbo, Shuichi
1989
Singular perturbation of domains and the semilinear elliptic equation. II. Zbl 0667.35003
Jimbo, Shuichi
1988
Stability of nonconstant steady-state solutions to a Ginzburg-Landau equation in higher space dimensions. Zbl 0798.35019
Jimbo, Shuichi; Morita, Yoshihisa
1994
Singular perturbation of domains and semilinear elliptic equation. Zbl 0667.35002
Jimbo, Shuichi
1988
Ginzburg-Landau equations and stable solutions in a rotational domain. Zbl 0865.35016
Jimbo, Shuichi; Morita, Yoshihisa
1996
Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation. Zbl 1288.35077
Jimbo, Shuichi; Morita, Yoshihisa
2013
Ginzburg-Landau equation and stable steady state solutions in a non-trivial domain. Zbl 0841.35041
Jimbo, Shuichi; Morita, Yoshihisa; Zhai, Jian
1995
Movement of hot spots over unbounded domains in $${\mathbb{R}}^ N$$. Zbl 0830.35046
Jimbo, Shuichi; Sakaguchi, Shigeru
1994
Perturbation formula of eigenvalues in singularly perturbed domain. Zbl 0785.35069
Jimbo, Shuichi
1993
On a semilinear diffusion equation on a Riemannian manifold and its stable equilibrium solutions. Zbl 0565.35054
Jimbo, Shuichi
1984
Stabilization of vortices in the Ginzburg-Landau equation with a variable diffusion coefficient. Zbl 0910.35054
Chen, Xu-Yan; Jimbo, Shuichi; Morita, Yoshihisa
1998
Remarks on the behavior of certain eigenvalues on a singularly perturbed domain with several thin channels. Zbl 0766.35029
Jimbo, Shuichi; Morita, Yoshihisa
1992
Ginzburg-Landau equation with magnetic effect: non-simply-connected domains. Zbl 0912.58011
Jimbo, Shuichi; Zhai, Jian
1998
Stable solutions with zeros to the Ginzburg-Landau equation with Neumann boundary condition. Zbl 0853.35119
Jimbo, Shuichi; Morita, Yoshihisa
1996
Ordinary differential equations (ODE’s) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels. Zbl 0760.35026
Morita, Yoshihisa; Jimbo, Shuichi
1992
Ginzburg-Landau equation with magnetic effect in a thin domain. Zbl 1148.35300
Jimbo, Shuichi; Morita, Yoshihisa
2002
Entire solutions to reaction-diffusion equations in multiple half-lines with a junction. Zbl 1412.35179
Jimbo, Shuichi; Morita, Yoshihisa
2019
Singular perturbation of domains and semilinear elliptic equations. III. Zbl 1152.35310
Jimbo, Shuichi
2004
Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect. Zbl 1056.35055
Jimbo, Shuichi; Zhai, Jian
2000
Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk. Zbl 0928.35047
Jimbo, Shuichi; Morita, Yoshihisa
1999
Characterization of the eigenfunctions in the singularly perturbed domain. Zbl 0659.35076
Jimbo, Shuichi
1987
Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition. Zbl 1348.35158
Jimbo, Shuichi; Kurata, Kazuhiro
2016
Spectra of domains with partial degeneration. Zbl 1231.35130
Jimbo, Shuichi; Kosugi, Satoshi
2009
Nonexistence of permanent currents in convex planar samples. Zbl 1055.49031
Jimbo, Shuichi; Sternberg, Peter
2002
A construction of the perturbed solution of semilinear elliptic equation in the singularly perturbed domain. Zbl 0697.35013
Jimbo, Shuichi
1989
Spectral comparison and gradient-like property in the FitzHugh-Nagumo type equations. Zbl 1342.35139
Chen, Chao-Nien; Jimbo, Shuichi; Morita, Yoshihisa
2015
Vortex dynamics for the Ginzburg-Landau equation with Neumann condition. Zbl 1010.35058
Jimbo, Shuichi; Morita, Yoshihisa
2001
Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition. Zbl 0984.35015
Jimbo, Shuichi; Morita, Yoshihisa
2001
Semilinear parabolic equation in a singularly perturbed domain and the limit of the attractors. Zbl 0820.35084
Jimbo, Shuichi
1993
Perturbed equilibrium solutions in the singularly perturbed domain: $$L^\infty(\Omega(\zeta))$$-formulation and elaborate characterization. Zbl 0925.35065
Jimbo, Shuichi
1991
Characterization of the eigenfunctions in the singularly perturbed domain. II. Zbl 0679.35010
Jimbo, Shuichi
1988
Nonlocal eigenvalue problems arising in a generalized phase-field-type system. Zbl 1433.35170
Jimbo, Shuichi; Morita, Yoshihisa
2017
Hadamard variational formula for the multiple eigenvalues of the Stokes operator with the Dirichlet boundary conditions. Zbl 1334.76041
Jimbo, Shuichi; Ushikoshi, Erika
2015
Approximation of eigenvalues of elliptic operators with discontinuous coefficients. Zbl 1274.35091
Jimbo, Shuichi; Kosugi, Satoshi
2003
Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains. Zbl 0699.35076
Jimbo, Shuichi
1988
Entire solutions to reaction-diffusion equations in multiple half-lines with a junction. Zbl 1412.35179
Jimbo, Shuichi; Morita, Yoshihisa
2019
Nonlocal eigenvalue problems arising in a generalized phase-field-type system. Zbl 1433.35170
Jimbo, Shuichi; Morita, Yoshihisa
2017
Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition. Zbl 1348.35158
Jimbo, Shuichi; Kurata, Kazuhiro
2016
Spectral comparison and gradient-like property in the FitzHugh-Nagumo type equations. Zbl 1342.35139
Chen, Chao-Nien; Jimbo, Shuichi; Morita, Yoshihisa
2015
Hadamard variational formula for the multiple eigenvalues of the Stokes operator with the Dirichlet boundary conditions. Zbl 1334.76041
Jimbo, Shuichi; Ushikoshi, Erika
2015
Lyapunov function and spectrum comparison for a reaction-diffusion system with mass conservation. Zbl 1288.35077
Jimbo, Shuichi; Morita, Yoshihisa
2013
Spectra of domains with partial degeneration. Zbl 1231.35130
Jimbo, Shuichi; Kosugi, Satoshi
2009
Singular perturbation of domains and semilinear elliptic equations. III. Zbl 1152.35310
Jimbo, Shuichi
2004
Approximation of eigenvalues of elliptic operators with discontinuous coefficients. Zbl 1274.35091
Jimbo, Shuichi; Kosugi, Satoshi
2003
Ginzburg-Landau equation with magnetic effect in a thin domain. Zbl 1148.35300
Jimbo, Shuichi; Morita, Yoshihisa
2002
Nonexistence of permanent currents in convex planar samples. Zbl 1055.49031
Jimbo, Shuichi; Sternberg, Peter
2002
Vortex dynamics for the Ginzburg-Landau equation with Neumann condition. Zbl 1010.35058
Jimbo, Shuichi; Morita, Yoshihisa
2001
Notes on the limit equation of vortex motion for the Ginzburg-Landau equation with Neumann condition. Zbl 0984.35015
Jimbo, Shuichi; Morita, Yoshihisa
2001
Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect. Zbl 1056.35055
Jimbo, Shuichi; Zhai, Jian
2000
Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk. Zbl 0928.35047
Jimbo, Shuichi; Morita, Yoshihisa
1999
Stabilization of vortices in the Ginzburg-Landau equation with a variable diffusion coefficient. Zbl 0910.35054
Chen, Xu-Yan; Jimbo, Shuichi; Morita, Yoshihisa
1998
Ginzburg-Landau equation with magnetic effect: non-simply-connected domains. Zbl 0912.58011
Jimbo, Shuichi; Zhai, Jian
1998
Ginzburg-Landau equations and stable solutions in a rotational domain. Zbl 0865.35016
Jimbo, Shuichi; Morita, Yoshihisa
1996
Stable solutions with zeros to the Ginzburg-Landau equation with Neumann boundary condition. Zbl 0853.35119
Jimbo, Shuichi; Morita, Yoshihisa
1996
Ginzburg-Landau equation and stable steady state solutions in a non-trivial domain. Zbl 0841.35041
Jimbo, Shuichi; Morita, Yoshihisa; Zhai, Jian
1995
Stability of nonconstant steady-state solutions to a Ginzburg-Landau equation in higher space dimensions. Zbl 0798.35019
Jimbo, Shuichi; Morita, Yoshihisa
1994
Movement of hot spots over unbounded domains in $${\mathbb{R}}^ N$$. Zbl 0830.35046
Jimbo, Shuichi; Sakaguchi, Shigeru
1994
Perturbation formula of eigenvalues in singularly perturbed domain. Zbl 0785.35069
Jimbo, Shuichi
1993
Semilinear parabolic equation in a singularly perturbed domain and the limit of the attractors. Zbl 0820.35084
Jimbo, Shuichi
1993
Remarks on the behavior of certain eigenvalues on a singularly perturbed domain with several thin channels. Zbl 0766.35029
Jimbo, Shuichi; Morita, Yoshihisa
1992
Ordinary differential equations (ODE’s) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels. Zbl 0760.35026
Morita, Yoshihisa; Jimbo, Shuichi
1992
Perturbed equilibrium solutions in the singularly perturbed domain: $$L^\infty(\Omega(\zeta))$$-formulation and elaborate characterization. Zbl 0925.35065
Jimbo, Shuichi
1991
The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition. Zbl 0703.35138
Jimbo, Shuichi
1989
A construction of the perturbed solution of semilinear elliptic equation in the singularly perturbed domain. Zbl 0697.35013
Jimbo, Shuichi
1989
Singular perturbation of domains and the semilinear elliptic equation. II. Zbl 0667.35003
Jimbo, Shuichi
1988
Singular perturbation of domains and semilinear elliptic equation. Zbl 0667.35002
Jimbo, Shuichi
1988
Characterization of the eigenfunctions in the singularly perturbed domain. II. Zbl 0679.35010
Jimbo, Shuichi
1988
Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains. Zbl 0699.35076
Jimbo, Shuichi
1988
Characterization of the eigenfunctions in the singularly perturbed domain. Zbl 0659.35076
Jimbo, Shuichi
1987
On a semilinear diffusion equation on a Riemannian manifold and its stable equilibrium solutions. Zbl 0565.35054
Jimbo, Shuichi
1984
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#### Cited by 193 Authors

 17 Jimbo, Shuichi 15 Morita, Yoshihisa 7 Arrieta, José M. 5 Sakata, Shigehiro 4 Ei, Shin-Ichiro 4 Ishige, Kazuhiro 4 Nolasco de Carvalho, Alexandre 4 Punzo, Fabio 4 Valdinoci, Enrico 4 Zhai, Jian 3 Bandle, Catherine 3 Berlyand, Leonid V. 3 Farina, Alberto 3 Gadyl’shin, Rustem R. 3 Kabeya, Yoshitsugu 3 Lozada-Cruz, German 3 Nazarov, Sergeĭ Aleksandrovich 3 Sakaguchi, Shigeru 3 Slastikov, Valeriy V. 3 Sternberg, Peter J. 3 Yanagida, Eiji 2 Alama, Stan 2 Bronsard, Lia 2 Chen, Chaonien 2 Dancer, Edward Norman 2 Felli, Veronica 2 Girouard, Alexandre 2 Hirano, Norimichi 2 Ishii, Yuta 2 Jerrard, Robert Leon 2 Karachalios, Nikos I. 2 Kosugi, Satoshi 2 Kuwamura, Masataka 2 Mironescu, Petru 2 Miura, Tatsu-Hiko 2 Miyamoto, Yasuhito 2 Monticelli, Dario Daniele 2 Morini, Massimiliano 2 Ozawa, Shin 2 Polterovich, Iosif 2 Roppongi, Susumu 2 Sakamoto, Kunimochi 2 Sire, Yannick 2 Taylor, Justin L. 2 Wakasugi, Yuta 2 Zographopoulos, Nikolaos B. 1 Abatangelo, Laura 1 Afraimovich, Valentine S. 1 Aftalion, Amandine 1 André, Nelly 1 Aubert, Gilles 1 Aujol, Jean-François 1 Avci, Mustafa 1 Babin, A. 1 Bauman, Patricia E. 1 Blanc-Féraud, Laure 1 Bolikowski, Łukasz 1 Boutet de Monvel, Louis 1 Bucur, Dorin 1 Budzinskiy, Stanislav S. 1 Cai, Zhihui 1 Cano-Casanova, Santiago 1 Cardone, Giuseppe 1 Chen, Dehan 1 Chen, Sheng 1 Cheng, Da Rong 1 Chern, Jann-Long 1 Chow, Shui-Nee 1 Chueshov, Igor’ Dmitrievich 1 Ciraolo, Giulio 1 Collins, Craig D. 1 Cónsul, Neus 1 Contreras, Andres A. 1 Corso, Rosario 1 Cosner, Chris 1 Daners, Daniel 1 Del Pino, Manuel A. 1 Dipierro, Serena 1 Du, Yihong 1 Exner, Pavel 1 Fang, Qing 1 Fazly, Mostafa 1 Ferraresso, Francesco 1 Filatov, Denis M. 1 Glotov, Dmitry 1 Gokieli, Maria 1 Golovaty, Dmitry 1 Guo, Boling 1 Guo, Hongjun 1 Hale, Jack Kenneth 1 Hamel, François 1 Han, Qing 1 Hempel, Rainer 1 Henrot, Antoine 1 Hu, Xijun 1 Huang, Qingguang 1 Ignat, Radu 1 Izuhara, Hirofumi 1 Joly, Romain 1 Kamalia, Putri Zahra ...and 93 more Authors
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#### Cited in 66 Serials

 27 Journal of Differential Equations 7 Journal of Functional Analysis 7 Communications in Partial Differential Equations 6 Journal of Mathematical Analysis and Applications 6 Japan Journal of Industrial and Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Japan Academy. Series A 4 Discrete and Continuous Dynamical Systems 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Journal of Dynamics and Differential Equations 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Biology 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Sciences (New York) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Spectral Theory 2 Journal of Elliptic and Parabolic Equations 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Automatica 1 Functional Analysis and its Applications 1 Integral Equations and Operator Theory 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Theoretical Population Biology 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 International Journal of Computer Vision 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Abstract and Applied Analysis 1 Chaos 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Operators and Matrices 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Nonlinear Analysis
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#### Cited in 24 Fields

 134 Partial differential equations (35-XX) 22 Global analysis, analysis on manifolds (58-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 10 Biology and other natural sciences (92-XX) 8 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Differential geometry (53-XX) 7 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Optics, electromagnetic theory (78-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)