Edit Profile (opens in new tab) Ozawa, Shin Co-Author Distance Author ID: ozawa.shin Published as: Ozawa, Shin; Ozawa, S. Documents Indexed: 53 Publications since 1978 Co-Authors: 4 Co-Authors with 9 Joint Publications 22 Co-Co-Authors Co-Authors 44 single-authored 5 Roppongi, Susumu 2 Osawa, Tatsuzo 1 Fujiwara, Daisuke 1 Komatsu, Gen all top 5 Serials 26 Proceedings of the Japan Academy. Series A 9 Osaka Journal of Mathematics 3 Journal of the Faculty of Science. Section I A 3 Kodai Mathematical Journal 2 Communications in Mathematical Physics 2 Tôhoku Mathematical Journal. Second Series 1 Duke Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 Sūgaku 1 Translations. Series 2. American Mathematical Society all top 5 Fields 49 Partial differential equations (35-XX) 11 Probability theory and stochastic processes (60-XX) 3 Operator theory (47-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 350 times in 178 Documents Cited by ▼ Year ▼ Singular variation of domains and eigenvalues of the Laplacian. Zbl 0483.35064 Ozawa, Shin 61 1981 Spectra of domains with small spherical Neumann boundary. Zbl 0541.35061 Ozawa, Shin 22 1983 Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -. Zbl 0579.35065 Ozawa, Shin 20 1985 Electrostatic capacity and eigenvalues of the Laplacian. Zbl 0531.35061 Ozawa, Shin 19 1983 On an elaboration of M. Kac’s theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles. Zbl 0541.35019 Ozawa, Shin 18 1983 The Hadamard variational formula for the Green functions of some normal elliptic boundary value problems. Zbl 0404.35009 Fujiwara, Daisuke; Ozawa, Shin 16 1978 Singular Hadamard’s variation of domains and eigenvalues of the Laplacian. II. Zbl 0509.35060 Ozawa, Shin 16 1981 An asymptotic formula for the eigenvalues of the Laplacian in a three dimensional domain with a small hole. Zbl 0541.35060 Ozawa, Shin 15 1983 Point interaction potential approximation for \((-\Delta +U)^{-1}\) and eigenvalues of the Laplacian on wildly perturbed domain. Zbl 0569.35061 Ozawa, Shin 13 1983 Singular Hadamard’s variation of domains and eigenvalues of the Laplacian. Zbl 0483.35063 Ozawa, Shin 10 1980 Perturbation of domains and Green kernels of heat equations. Zbl 0432.35003 Ozawa, Shin 10 1978 The first eigenvalue of the Laplacian on two dimensional Riemannian manifolds. Zbl 0486.53035 Ozawa, Shin 10 1982 An asymptotic formula for the eigenvalues of the Laplacian in a domain with a small hole. Zbl 0516.35015 Ozawa, Shin 9 1982 Random media and eigenvalues of the Laplacian. Zbl 0555.35101 Ozawa, S. 8 1984 Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. I. Zbl 0802.35111 Ozawa, Shin 7 1992 Hadamard’s variation of the Green kernels of heat equations and their traces. I. Zbl 0476.35039 Ozawa, Shin 7 1982 Eigenvalues of the Laplacian under singular variation of domains – the Robin problem with obstacle of general shape. Zbl 0862.35080 Ozawa, Shin 6 1996 Surgery of domain and the Green’s function of the Laplacian. Zbl 0468.35033 Ozawa, Shin 6 1980 Spectra of domains with small spherical Neumann boundary. Zbl 0526.35058 Ozawa, Shin 6 1982 Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II. Zbl 0854.35078 Ozawa, Shin; Roppongi, Susumu 5 1992 Asymptotic property of eigenfunction of the Laplacian at the boundary. Zbl 0808.35090 Ozawa, Shin 5 1993 Singular variation of the ground state eigenvalue for a semilinear elliptic equation. Zbl 0799.35087 Ozawa, Shin 5 1993 Approximation of Green’s function in a region with many obstacles. Zbl 0699.35051 Ozawa, Shin 5 1988 Remarks on Hadamard’s variation of eigenvalues of the Laplacian. Zbl 0457.35067 Ozawa, Shin 5 1979 Spectral properties of random media. Zbl 0584.60073 Ozawa, Shin 5 1984 Nonlinear eigenvalue problem and singular variation of domains. Zbl 0782.35054 Osawa, Tatsuz; Ozawa, Shin 4 1992 Variation of the Bergman kernel by cutting a hole. Zbl 0595.32033 Komatsu, Gen; Ozawa, Shin 4 1985 Fluctuation of spectra in random media. II. Zbl 0706.60101 Ozawa, Shin 3 1990 Eigenvalues of the Laplacian on wildly perturbed domain. Zbl 0526.35059 Ozawa, Shin 3 1982 A shape of eigenfunction of the Laplacian under singular variation of domains. Zbl 0551.35065 Ozawa, Shin 3 1983 Singular variation of nonlinear eigenvalues. Zbl 0809.35068 Ozawa, Shin 3 1992 Heat kernel and singular variation of domains. Zbl 0856.35051 Ozawa, Shin; Roppongi, Susumu 2 1995 Singular variation of domain and eigenvalues of the Laplacian with the third boundary condition. Zbl 0838.35089 Ozawa, Shin; Roppongi, Susumu 2 1992 \(L^ \infty\) boundedness of nonlinear eigenfunction under singular variation of domains. Zbl 0855.35096 Ozawa, Shin 2 1995 Spectra of the Laplacian with small Robin conditional boundary. Zbl 0857.35094 Ozawa, Shin 2 1996 Potential theory and eigenvalues of the Laplacian. Zbl 0524.35079 Ozawa, Shin 2 1982 On an elaboration of M. Kac’s theorem concerning eigenvalues of -\(\Delta\) in a region with randomly distributed small obstacles. Zbl 0544.60067 Ozawa, Shin 2 1983 Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations. Zbl 0923.35062 Ozawa, Shin; Roppongi, Susumu 1 1995 Singular variation of domains and \(L^ \infty\) boundedness of eigenfunctions for some semi-linear elliptic equations. Zbl 0799.35088 Ozawa, Shin; Roppongi, Susumu 1 1994 Spectra of random media with many randomly distributed obstacles. Zbl 0787.60077 Ozawa, Shin 1 1993 Singular variation of nonlinear eigenvalues. II. Zbl 0820.35105 Osawa, Tatsuzo; Ozawa, Shin 1 1993 Fluctuation of spectra in random media. Zbl 0615.60060 Ozawa, Shin 1 1986 Fluctuation of spectra in random media. Zbl 0639.60104 Ozawa, Shin 1 1987 Spectra of random media. Zbl 0802.35112 Ozawa, Shin 1 1992 The eigenvalues of the Laplacian and perturbation of boundary condition. Zbl 0434.35069 Ozawa, Shin 1 1979 Random media and quasi-classical limit of Schrödinger operator. Zbl 0564.35025 Ozawa, Shin 1 1984 Eigenvalues of the Laplacian under singular variation of domains – the Robin problem with obstacle of general shape. Zbl 0862.35080 Ozawa, Shin 6 1996 Spectra of the Laplacian with small Robin conditional boundary. Zbl 0857.35094 Ozawa, Shin 2 1996 Heat kernel and singular variation of domains. Zbl 0856.35051 Ozawa, Shin; Roppongi, Susumu 2 1995 \(L^ \infty\) boundedness of nonlinear eigenfunction under singular variation of domains. Zbl 0855.35096 Ozawa, Shin 2 1995 Singular variation of domains and continuity property of eigenfunction for some semi-linear elliptic equations. Zbl 0923.35062 Ozawa, Shin; Roppongi, Susumu 1 1995 Singular variation of domains and \(L^ \infty\) boundedness of eigenfunctions for some semi-linear elliptic equations. Zbl 0799.35088 Ozawa, Shin; Roppongi, Susumu 1 1994 Asymptotic property of eigenfunction of the Laplacian at the boundary. Zbl 0808.35090 Ozawa, Shin 5 1993 Singular variation of the ground state eigenvalue for a semilinear elliptic equation. Zbl 0799.35087 Ozawa, Shin 5 1993 Spectra of random media with many randomly distributed obstacles. Zbl 0787.60077 Ozawa, Shin 1 1993 Singular variation of nonlinear eigenvalues. II. Zbl 0820.35105 Osawa, Tatsuzo; Ozawa, Shin 1 1993 Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. I. Zbl 0802.35111 Ozawa, Shin 7 1992 Singular variation of domain and spectra of the Laplacian with small Robin conditional boundary. II. Zbl 0854.35078 Ozawa, Shin; Roppongi, Susumu 5 1992 Nonlinear eigenvalue problem and singular variation of domains. Zbl 0782.35054 Osawa, Tatsuz; Ozawa, Shin 4 1992 Singular variation of nonlinear eigenvalues. Zbl 0809.35068 Ozawa, Shin 3 1992 Singular variation of domain and eigenvalues of the Laplacian with the third boundary condition. Zbl 0838.35089 Ozawa, Shin; Roppongi, Susumu 2 1992 Spectra of random media. Zbl 0802.35112 Ozawa, Shin 1 1992 Fluctuation of spectra in random media. II. Zbl 0706.60101 Ozawa, Shin 3 1990 Approximation of Green’s function in a region with many obstacles. Zbl 0699.35051 Ozawa, Shin 5 1988 Fluctuation of spectra in random media. Zbl 0639.60104 Ozawa, Shin 1 1987 Fluctuation of spectra in random media. Zbl 0615.60060 Ozawa, Shin 1 1986 Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -. Zbl 0579.35065 Ozawa, Shin 20 1985 Variation of the Bergman kernel by cutting a hole. Zbl 0595.32033 Komatsu, Gen; Ozawa, Shin 4 1985 Random media and eigenvalues of the Laplacian. Zbl 0555.35101 Ozawa, S. 8 1984 Spectral properties of random media. Zbl 0584.60073 Ozawa, Shin 5 1984 Random media and quasi-classical limit of Schrödinger operator. Zbl 0564.35025 Ozawa, Shin 1 1984 Spectra of domains with small spherical Neumann boundary. Zbl 0541.35061 Ozawa, Shin 22 1983 Electrostatic capacity and eigenvalues of the Laplacian. Zbl 0531.35061 Ozawa, Shin 19 1983 On an elaboration of M. Kac’s theorem concerning eigenvalues of the Laplacian in a region with randomly distributed small obstacles. Zbl 0541.35019 Ozawa, Shin 18 1983 An asymptotic formula for the eigenvalues of the Laplacian in a three dimensional domain with a small hole. Zbl 0541.35060 Ozawa, Shin 15 1983 Point interaction potential approximation for \((-\Delta +U)^{-1}\) and eigenvalues of the Laplacian on wildly perturbed domain. Zbl 0569.35061 Ozawa, Shin 13 1983 A shape of eigenfunction of the Laplacian under singular variation of domains. Zbl 0551.35065 Ozawa, Shin 3 1983 On an elaboration of M. Kac’s theorem concerning eigenvalues of -\(\Delta\) in a region with randomly distributed small obstacles. Zbl 0544.60067 Ozawa, Shin 2 1983 The first eigenvalue of the Laplacian on two dimensional Riemannian manifolds. Zbl 0486.53035 Ozawa, Shin 10 1982 An asymptotic formula for the eigenvalues of the Laplacian in a domain with a small hole. Zbl 0516.35015 Ozawa, Shin 9 1982 Hadamard’s variation of the Green kernels of heat equations and their traces. I. Zbl 0476.35039 Ozawa, Shin 7 1982 Spectra of domains with small spherical Neumann boundary. Zbl 0526.35058 Ozawa, Shin 6 1982 Eigenvalues of the Laplacian on wildly perturbed domain. Zbl 0526.35059 Ozawa, Shin 3 1982 Potential theory and eigenvalues of the Laplacian. Zbl 0524.35079 Ozawa, Shin 2 1982 Singular variation of domains and eigenvalues of the Laplacian. Zbl 0483.35064 Ozawa, Shin 61 1981 Singular Hadamard’s variation of domains and eigenvalues of the Laplacian. II. Zbl 0509.35060 Ozawa, Shin 16 1981 Singular Hadamard’s variation of domains and eigenvalues of the Laplacian. Zbl 0483.35063 Ozawa, Shin 10 1980 Surgery of domain and the Green’s function of the Laplacian. Zbl 0468.35033 Ozawa, Shin 6 1980 Remarks on Hadamard’s variation of eigenvalues of the Laplacian. Zbl 0457.35067 Ozawa, Shin 5 1979 The eigenvalues of the Laplacian and perturbation of boundary condition. Zbl 0434.35069 Ozawa, Shin 1 1979 The Hadamard variational formula for the Green functions of some normal elliptic boundary value problems. Zbl 0404.35009 Fujiwara, Daisuke; Ozawa, Shin 16 1978 Perturbation of domains and Green kernels of heat equations. Zbl 0432.35003 Ozawa, Shin 10 1978 all cited Publications top 5 cited Publications all top 5 Cited by 175 Authors 32 Ozawa, Shin 9 Ammari, Habib 6 Musolino, Paolo 6 Ward, Michael J. 5 Abatangelo, Laura 5 Khelifi, Abdessatar 5 Maz’ya, Vladimir Gilelevich 5 Movchan, Alexander B. 5 Roppongi, Susumu 4 Gadyl’shin, Rustem R. 4 Jimbo, Shuichi 4 Kang, Hyeonbae 4 Lanza de Cristoforis, Massimo 4 Lee, Hyundae 4 Léna, Corentin 4 Lindsay, Alan E. 3 Arrieta, José M. 3 Barseghyan, Diana 3 Jaouabi, Ahlem 3 Kaizu, Satoshi 3 Kozono, Hideo 3 Nazarov, Sergeĭ Aleksandrovich 3 Osawa, Tatsuzo 3 Schneider, Baruch 3 Sznitman, Alain-Sol 3 Ushikoshi, Erika 3 van den Berg, Michiel 2 Anné, Colette 2 Bolthausen, Erwin 2 Chavel, Isaac 2 Chechkin, Gregory Aleksandrovich 2 Dabrowski, Alexander 2 den Hollander, Frank 2 Feldman, Edgar A. 2 Felli, Veronica 2 Fujiwara, Daisuke 2 Hai, Ly Hong 2 Harrell, Evans M. II 2 Kabeya, Yoshitsugu 2 Kozhevnikov, Denis Vladimirovich 2 Lawley, Sean D. 2 Ohtsuka, Kohji 2 Rubinstein, Jacob 2 Straube, Emil J. 2 Tang, Zizhou 2 Yu, SangHyeon 2 Zelditch, Steve 2 Zhang, Hai 1 Abdullazade, N. N. 1 Ahmad, Bashir 1 Al-saedi, Ahmed Eid Salem 1 Aomoto, Kazuhiko 1 Auchmuty, Giles 1 Balzano, Michele 1 Ban, Masashi 1 Bandle, Catherine 1 Barrett, David E. 1 Basti, Giulia 1 Behrndt, Jussi 1 Ben-Ari, Iddo 1 Berkolaiko, Gregory 1 Bernoff, Andrew J. 1 Bernstein, Swanhild 1 Besson, Gérard 1 Biskup, Marek 1 Boas, Harold P. 1 Bonnaillie-Noël, Virginie 1 Bruno, Oscar P. 1 Caflisch, Russel E. 1 Carroll, Tom 1 Cenatiempo, Serena 1 Challa, Durga Prasad 1 Cheviakov, Alexei F. 1 Dal Maso, Gianni 1 Dalla Riva, Matteo 1 Dancer, Edward Norman 1 Daners, Daniel 1 Douanla, Hermann 1 El Soufi, Ahmad 1 Engliš, Miroslav 1 Fang, Yan-Long 1 Figari, Rodolfo 1 Fitzpatrick, Brian 1 Friedman, Avner 1 Fukushima, Ryoki 1 Garapon, Pierre 1 Gérard-Varet, David 1 Hale, Jack Kenneth 1 Han, Qing 1 Hassell, Andrew 1 Hempel, Rainer 1 Herbut, Fedor 1 Hillairet, Luc 1 Höfer, Richard M. 1 Hönig, Andreas 1 Imeri, Kthim 1 Iyaniwura, Sarafa A. 1 Jansen, Jonas 1 Ji, Lizhen 1 Kadalbajoo, Mohan K. ...and 75 more Authors all top 5 Cited in 77 Serials 28 Proceedings of the Japan Academy. Series A 6 Communications in Partial Differential Equations 6 Journal of Mathematical Sciences (New York) 5 Journal of Differential Equations 5 Journal of Functional Analysis 5 Kodai Mathematical Journal 4 International Journal of Theoretical Physics 4 Mathematical Methods in the Applied Sciences 4 SIAM Journal on Mathematical Analysis 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Statistical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 Journal of Computational and Applied Mathematics 3 Mathematische Zeitschrift 3 Quarterly of Applied Mathematics 3 Tôhoku Mathematical Journal. Second Series 3 Transactions of the American Mathematical Society 3 Asymptotic Analysis 3 SIAM Journal on Applied Mathematics 3 Potential Analysis 2 Applicable Analysis 2 Journal of Fluid Mechanics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Studies in Applied Mathematics 2 Japan Journal of Applied Mathematics 2 Sugaku Expositions 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 Revista Matemática Complutense 2 Annales Henri Poincaré 2 Multiscale Modeling & Simulation 2 Mediterranean Journal of Mathematics 2 Journal of Spectral Theory 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Nonlinearity 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Compositio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Integral Equations and Operator Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Siberian Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Probability Theory and Related Fields 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Geometric and Functional Analysis. GAFA 1 Stochastic Processes and their Applications 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Journal of Applied Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Natural Resource Modeling 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations all top 5 Cited in 27 Fields 142 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Probability theory and stochastic processes (60-XX) 16 Operator theory (47-XX) 9 Potential theory (31-XX) 9 Fluid mechanics (76-XX) 8 Functional analysis (46-XX) 8 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 8 Quantum theory (81-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) Citations by Year