## Kurata, Kazuhiro

Compute Distance To:
 Author ID: kurata.kazuhiro Published as: Kurata, Kazuhiro; Kurata, K.
 Documents Indexed: 49 Publications since 1990 1 Contribution as Editor Co-Authors: 27 Co-Authors with 35 Joint Publications 561 Co-Co-Authors
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### Co-Authors

 14 single-authored 6 Shibata, Masataka 5 Sugano, Satoko 2 Chanillo, Sagun 2 Grieser, Daniel 2 Imai, Masaki 2 Ishii, Yuta 2 Kajiwara, Takashi 2 Matsuda, Kazuyuki 2 Morimoto, Kotaro 2 Ohnishi, Isamu 2 Osada, Yuki 2 Tada, Kazuo 2 Watanabe, Tatsuya 1 Harrell, Evans M. II 1 Ide, Takanori 1 Jimbo, Shuichi 1 Kawashima, Shuichi 1 Kröger, Pawel 1 Kuroda, Shige Toshi 1 Maniwa, Masaaki 1 Matsuzawa, Hiroshi 1 Nishigaki, Seiichi 1 Ogawa, Takayoshi 1 Sakamoto, Shigeru 1 Shi, Junping 1 Shioji, Naoki 1 Suzuki, Takashi 1 Tanaka, Kazunaga
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### Serials

 6 RIMS Kokyuroku 4 Communications on Pure and Applied Analysis 3 Journal of Mathematical Analysis and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Discrete and Continuous Dynamical Systems 2 Applied Mathematics and Optimization 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Tokyo Journal of Mathematics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Studia Mathematica 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Tohoku Mathematical Journal. Second Series 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Journal of Mathematical Sciences. University of Tokyo 1 Discrete and Continuous Dynamical Systems. Series B
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### Fields

 47 Partial differential equations (35-XX) 6 Operator theory (47-XX) 6 Biology and other natural sciences (92-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 443 times in 378 Documents Cited by Year
Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields. Zbl 0993.35081
Kurata, Kazuhiro
2000
Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes. Zbl 0972.49030
Chanillo, S.; Grieser, D.; Imai, M.; Kurata, K.; Ohnishi, I.
2000
An estimate on the heat kernel of magnetic Schrödinger operators and uniformly elliptic operators with non-negative potentials. Zbl 1013.35020
Kurata, Kazuhiro
2000
The free boundary problem in the optimization of composite membranes. Zbl 0988.35124
Chanillo, S.; Grieser, D.; Kurata, K.
2000
On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue. Zbl 0994.47015
Harrell, Evans M. II; Kröger, Pawel; Kurata, Kazuhiro
2001
Continuity and Harnack’s inequality for solutions of elliptic partial differential equations of second order. Zbl 0805.35017
Kurata, Kazuhiro
1994
A remark on estimates for uniformly elliptic operators on weighted $$L^p$$ spaces and Morrey spaces. Zbl 0939.35036
Kurata, Kazuhiro; Sugano, Satoko
2000
Boundedness of integral operators on generalized Morrey spaces and its application to Schrödinger operators. Zbl 0958.35024
Kurata, Kazuhiro; Nishigaki, Seiichi; Sugano, Satoko
2000
A unique continuation theorem for the Schrödinger equation with singular magnetic field. Zbl 0887.35026
Kurata, Kazuhiro
1997
A unique continuation theorem for uniformly elliptic equations with strongly singular potentials. Zbl 0788.35015
Kurata, Kazuhiro
1993
Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials. Zbl 0956.35058
Kurata, Kazuhiro; Sugano, Satoko
2000
Optimal spatial harvesting strategy and symmetry-breaking. Zbl 1178.35383
Kurata, Kazuhiro; Shi, Junping
2008
Compact embedding from $$W_0^{1,2}(\Omega)$$ to $$L^{q(x)}(\Omega )$$ and its application to nonlinear elliptic boundary value problem with variable critical exponent. Zbl 1151.46020
Kurata, Kazuhiro; Shioji, Naoki
2008
Estimates of the fundamental solution for magnetic Schrödinger operators and their applications. Zbl 0967.35035
Kurata, Kazuhiro; Sugano, Satoko
2000
Hardy type inequality and application to the stability of degenerate stationary waves. Zbl 1178.35059
Kawashima, Shuichi; Kurata, Kazuhiro
2009
Construction and asymptotic behavior of multi-peak solutions to the Gierer-Meinhardt system with saturation. Zbl 1197.35023
Kurata, Kazuhiro; Morimoto, Kotaro
2008
Least energy solutions to semi-linear elliptic problems on metric graphs. Zbl 1448.35250
Kurata, Kazuhiro; Shibata, Masataka
2020
Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity. Zbl 1411.35159
Ishii, Yuta; Kurata, Kazuhiro
2019
On a backward estimate for solutions of parabolic differential equations and its application to unique continuation. Zbl 0806.35053
Kurata, Kazuhiro
1994
Multiple stable patterns in a balanced bistable equation with heterogeneous environments. Zbl 1193.35047
Kurata, Kazuhiro; Matsuzawa, Hiroshi
2010
Symmetry-breaking phenomena in an optimization problem for some nonlinear elliptic equation. Zbl 1056.49004
Kurata, Kazuhiro; Shibata, Masataka; Sakamoto, Shigeru
2004
Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition. Zbl 1348.35158
Jimbo, Shuichi; Kurata, Kazuhiro
2016
Existence of non-topological solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric. Zbl 1027.35022
Kurata, Kazuhiro
2001
Local boundedness and continuity for weak solutions of $$-(\nabla-ib)^ 2u+Vu=0$$. Zbl 0876.35028
Kurata, Kazuhiro
1997
Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. Zbl 1274.35117
Kurata, Kazuhiro; Shibata, Masataka; Tada, Kazuo
2003
Existence of multiple spike stationary patterns in a chemotaxis model with weak saturation. Zbl 1228.35116
Kurata, Kazuhiro; Morimoto, Kotaro
2011
A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation. Zbl 1081.34085
Kurata, Kazuhiro; Watanabe, Tatsuya; Shibata, Masataka
2005
Remarks on blowing-up of solutions for some nonlinear Schrödinger equations. Zbl 0731.35015
Kurata, Kazuhiro; Ogawa, Takayoshi
1990
Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction. Zbl 1479.35799
2021
Standing wave solutions for the planer Chern-Simons gauged nonlinear Schrödinger equation with an external electromagnetic field. Zbl 0967.35131
Kurata, Kazuhiro
2000
On a one-dimensional variational problem related to the Cahn-Hilliard energy in a bent strip-like domain. Zbl 1042.49500
Kurata, Kazuhiro; Shibata, Masataka
2001
On the ratio of the first two eigenvalues of perturbed harmonic oscillators. Zbl 0874.35080
Kurata, Kazuhiro
1996
On doubling properties for non-negative weak solutions of elliptic and parabolic PDE. Zbl 0942.35093
Kurata, Kazuhiro
2000
A remark on the uniqueness of ground state solutions for $$- \Delta u= K(|x|)|u|^{p-1}u- a(|x|)u$$ in $$\mathbb R^n$$. Zbl 1129.35391
Kurata, Kazuhiro; Maniwa, Masaaki
2004
On a variational problem arising from the three-component FitzHugh-Nagumo type reaction-diffusion systems. Zbl 1401.35069
Kajiwara, Takashi; Kurata, Kazuhiro
2018
Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs. Zbl 1466.35014
Ishii, Yuta; Kurata, Kazuhiro
2021
Asymptotic expansion of the ground state energy for nonlinear Schrödinger system with three wave interaction. Zbl 1479.35799
2021
Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs. Zbl 1466.35014
Ishii, Yuta; Kurata, Kazuhiro
2021
Least energy solutions to semi-linear elliptic problems on metric graphs. Zbl 1448.35250
Kurata, Kazuhiro; Shibata, Masataka
2020
Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity. Zbl 1411.35159
Ishii, Yuta; Kurata, Kazuhiro
2019
On a variational problem arising from the three-component FitzHugh-Nagumo type reaction-diffusion systems. Zbl 1401.35069
Kajiwara, Takashi; Kurata, Kazuhiro
2018
Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition. Zbl 1348.35158
Jimbo, Shuichi; Kurata, Kazuhiro
2016
Existence of multiple spike stationary patterns in a chemotaxis model with weak saturation. Zbl 1228.35116
Kurata, Kazuhiro; Morimoto, Kotaro
2011
Multiple stable patterns in a balanced bistable equation with heterogeneous environments. Zbl 1193.35047
Kurata, Kazuhiro; Matsuzawa, Hiroshi
2010
Hardy type inequality and application to the stability of degenerate stationary waves. Zbl 1178.35059
Kawashima, Shuichi; Kurata, Kazuhiro
2009
Optimal spatial harvesting strategy and symmetry-breaking. Zbl 1178.35383
Kurata, Kazuhiro; Shi, Junping
2008
Compact embedding from $$W_0^{1,2}(\Omega)$$ to $$L^{q(x)}(\Omega )$$ and its application to nonlinear elliptic boundary value problem with variable critical exponent. Zbl 1151.46020
Kurata, Kazuhiro; Shioji, Naoki
2008
Construction and asymptotic behavior of multi-peak solutions to the Gierer-Meinhardt system with saturation. Zbl 1197.35023
Kurata, Kazuhiro; Morimoto, Kotaro
2008
A symmetry-breaking phenomenon and asymptotic profiles of least-energy solutions to a nonlinear Schrödinger equation. Zbl 1081.34085
Kurata, Kazuhiro; Watanabe, Tatsuya; Shibata, Masataka
2005
Symmetry-breaking phenomena in an optimization problem for some nonlinear elliptic equation. Zbl 1056.49004
Kurata, Kazuhiro; Shibata, Masataka; Sakamoto, Shigeru
2004
A remark on the uniqueness of ground state solutions for $$- \Delta u= K(|x|)|u|^{p-1}u- a(|x|)u$$ in $$\mathbb R^n$$. Zbl 1129.35391
Kurata, Kazuhiro; Maniwa, Masaaki
2004
Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. Zbl 1274.35117
Kurata, Kazuhiro; Shibata, Masataka; Tada, Kazuo
2003
On the placement of an obstacle or a well so as to optimize the fundamental eigenvalue. Zbl 0994.47015
Harrell, Evans M. II; Kröger, Pawel; Kurata, Kazuhiro
2001
Existence of non-topological solutions for a nonlinear elliptic equation arising from Chern-Simons-Higgs theory in a general background metric. Zbl 1027.35022
Kurata, Kazuhiro
2001
On a one-dimensional variational problem related to the Cahn-Hilliard energy in a bent strip-like domain. Zbl 1042.49500
Kurata, Kazuhiro; Shibata, Masataka
2001
Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields. Zbl 0993.35081
Kurata, Kazuhiro
2000
Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes. Zbl 0972.49030
Chanillo, S.; Grieser, D.; Imai, M.; Kurata, K.; Ohnishi, I.
2000
An estimate on the heat kernel of magnetic Schrödinger operators and uniformly elliptic operators with non-negative potentials. Zbl 1013.35020
Kurata, Kazuhiro
2000
The free boundary problem in the optimization of composite membranes. Zbl 0988.35124
Chanillo, S.; Grieser, D.; Kurata, K.
2000
A remark on estimates for uniformly elliptic operators on weighted $$L^p$$ spaces and Morrey spaces. Zbl 0939.35036
Kurata, Kazuhiro; Sugano, Satoko
2000
Boundedness of integral operators on generalized Morrey spaces and its application to Schrödinger operators. Zbl 0958.35024
Kurata, Kazuhiro; Nishigaki, Seiichi; Sugano, Satoko
2000
Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials. Zbl 0956.35058
Kurata, Kazuhiro; Sugano, Satoko
2000
Estimates of the fundamental solution for magnetic Schrödinger operators and their applications. Zbl 0967.35035
Kurata, Kazuhiro; Sugano, Satoko
2000
Standing wave solutions for the planer Chern-Simons gauged nonlinear Schrödinger equation with an external electromagnetic field. Zbl 0967.35131
Kurata, Kazuhiro
2000
On doubling properties for non-negative weak solutions of elliptic and parabolic PDE. Zbl 0942.35093
Kurata, Kazuhiro
2000
A unique continuation theorem for the Schrödinger equation with singular magnetic field. Zbl 0887.35026
Kurata, Kazuhiro
1997
Local boundedness and continuity for weak solutions of $$-(\nabla-ib)^ 2u+Vu=0$$. Zbl 0876.35028
Kurata, Kazuhiro
1997
On the ratio of the first two eigenvalues of perturbed harmonic oscillators. Zbl 0874.35080
Kurata, Kazuhiro
1996
Continuity and Harnack’s inequality for solutions of elliptic partial differential equations of second order. Zbl 0805.35017
Kurata, Kazuhiro
1994
On a backward estimate for solutions of parabolic differential equations and its application to unique continuation. Zbl 0806.35053
Kurata, Kazuhiro
1994
A unique continuation theorem for uniformly elliptic equations with strongly singular potentials. Zbl 0788.35015
Kurata, Kazuhiro
1993
Remarks on blowing-up of solutions for some nonlinear Schrödinger equations. Zbl 0731.35015
Kurata, Kazuhiro; Ogawa, Takayoshi
1990
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### Cited by 450 Authors

 11 Ambrosio, Vincenzo 10 Emamizadeh, Behrouz 8 Kurata, Kazuhiro 8 Mohammadi, Seyyed Abbas 7 Alves, Claudianor Oliveira 7 Felli, Veronica 7 Kao, Chiu-Yen 7 Liu, Yu 7 Tang, Lin 7 Tang, Zhongwei 6 Cingolani, Silvia 6 Cuccu, Fabrizio 6 Guliyev, Vagif Sabir 6 Liang, Sihua 6 Skrypnik, Igor Igorievich 6 Sugano, Satoko 6 Tao, Xiangxing 5 Figueiredo, Giovany Malcher 5 Ishii, Yuta 5 Li, Pengtao 5 Liu, Yichen 5 Sawano, Yoshihiro 5 Shi, Junping 5 Torrea, José Luis 5 Weiss, Georg Sebastian 5 Yang, Dachun 4 Andersson, John Erik 4 Berchio, Elvise 4 Bongioanni, Bruno 4 Falocchi, Alessio 4 Fernández Bonder, Julián 4 Ferrero, Alberto 4 Harboure, Eleonor O. 4 Huang, Jizheng 4 Kukavica, Igor 4 Liu, Weiming 4 Ly, Fu Ken 4 Morimoto, Kotaro 4 Raich, Andrew S. 4 Salinas, Oscar 4 Secchi, Simone 4 Shahgholian, Henrik 4 Shimomura, Tetsu 4 Squassina, Marco 4 The Anh Bui 4 Wang, Chunhua 3 Abatangelo, Laura 3 Anedda, Claudia 3 Anoop, Thazhe Veetil 3 Chanillo, Sagun 3 Di Fazio, Giuseppe 3 Duong, Xuan Thinh 3 Hasanov, Javanshir J. 3 Ji, Chao 3 Mizuta, Yoshihiro 3 Nys, Manon 3 Ohno, Takao 3 Porru, Giovanni 3 Rădulescu, Vicenţiu D. 3 Samko, Natasha 3 Sonego, Maicon 3 Terracini, Susanna 3 Tintarev, Kyril 3 Vecchi, Eugenio 3 Voss, Heinrich 3 Yang, Sibei 3 Zhang, Binlin 3 Zhang, Chao 3 Zhang, Jihui 3 Zhang, Songyan 3 Zhao, Huijiang 2 Akagi, Goro 2 Ao, Weiwei 2 Ashok Kumar, K. 2 Badalov, Xayyam A. 2 Bobkov, Vladimir E. 2 Bonheure, Denis 2 Cabral, Adrián 2 Çamliyurt, Güher 2 Cao, Jun 2 Chang, Der-Chen E. 2 Chorwadwala, Anisa M. H. 2 Chu, Changmu 2 Clapp, Mónica 2 Colasuonno, Francesca 2 d’Avenia, Pietro 2 Ding, Wandi 2 Ding, Yanheng 2 Du, Yihong 2 El Soufi, Ahmad 2 Exner, Pavel 2 Fall, Mouhamed Moustapha 2 Fan, Lili 2 Fanciullo, Maria Stella 2 Farjudian, Amin 2 Furtado, Marcelo Fernandes 2 Garrigue, Louis 2 Georgiev, Bogdan 2 Gunawan, Hendra 2 Hamel, François ...and 350 more Authors
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### Cited in 144 Serials

 30 Journal of Mathematical Analysis and Applications 22 Journal of Differential Equations 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Functional Analysis 10 Communications on Pure and Applied Analysis 9 Journal of Mathematical Physics 8 Calculus of Variations and Partial Differential Equations 7 Proceedings of the American Mathematical Society 7 Transactions of the American Mathematical Society 7 Potential Analysis 6 Applicable Analysis 6 Applied Mathematics and Optimization 6 Manuscripta Mathematica 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Communications in Partial Differential Equations 5 Journal of Mathematical Sciences (New York) 5 Discrete and Continuous Dynamical Systems 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Advanced Nonlinear Studies 4 Communications in Mathematical Physics 4 Journal of Scientific Computing 4 Forum Mathematicum 4 The Journal of Geometric Analysis 4 Communications in Contemporary Mathematics 4 Nonlinear Analysis. Real World Applications 4 Journal of Function Spaces and Applications 4 Banach Journal of Mathematical Analysis 4 Advances in Nonlinear Analysis 4 Journal of Function Spaces 3 Archive for Rational Mechanics and Analysis 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 Milan Journal of Mathematics 3 Complex Variables and Elliptic Equations 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Advances in Mathematics 2 Archiv der Mathematik 2 Duke Mathematical Journal 2 Integral Equations and Operator Theory 2 Monatshefte für Mathematik 2 Applied Mathematics Letters 2 Applied Mathematical Modelling 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Differential Equations 2 The Journal of Fourier Analysis and Applications 2 Mathematical Physics, Analysis and Geometry 2 Mathematical Inequalities & Applications 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Annales Henri Poincaré 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of the Australian Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Applied Dynamical Systems 2 Journal of the Indonesian Mathematical Society 2 Journal of Hyperbolic Differential Equations 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Operators and Matrices 2 Analysis and Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Letters in Mathematical Physics 1 Mathematical Biosciences 1 Studia Mathematica 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Canadian Journal of Mathematics 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Optimization Theory and Applications 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 SIAM Journal on Control and Optimization 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Constructive Approximation 1 Mathematical and Computer Modelling ...and 44 more Serials
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### Cited in 31 Fields

 316 Partial differential equations (35-XX) 63 Harmonic analysis on Euclidean spaces (42-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 44 Operator theory (47-XX) 28 Functional analysis (46-XX) 27 Quantum theory (81-XX) 23 Mechanics of deformable solids (74-XX) 21 Global analysis, analysis on manifolds (58-XX) 20 Biology and other natural sciences (92-XX) 17 Real functions (26-XX) 14 Ordinary differential equations (34-XX) 11 Numerical analysis (65-XX) 10 Optics, electromagnetic theory (78-XX) 9 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)