Edit Profile (opens in new tab) Kaizu, Satoshi Co-Author Distance Author ID: kaizu.satoshi Published as: Kaizu, Satoshi; Kaizu, S. Documents Indexed: 18 Publications since 1985 Co-Authors: 6 Co-Authors with 5 Joint Publications 67 Co-Co-Authors all top 5 Co-Authors 12 single-authored 1 Azegami, Hideyuki 1 Kikuchi, Fumio 1 Sabu, Nicholas 1 Saito, Jun-ichi 1 Takeuchi, Kenzen 1 Tomimori, Satoshi all top 5 Serials 4 Proceedings of the Japan Academy. Series A 3 JSIAM Letters 2 RIMS Kokyuroku 1 Journal of the Faculty of Science. Section I A 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Scientific Papers of the College of Arts and Sciences 1 Japan Journal of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 10 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 62 times in 44 Documents Cited by ▼ Year ▼ The Poisson equation with semilinear boundary conditions in domains with many tiny holes. Zbl 0678.35033 Kaizu, Satoshi 20 1989 Regular solution to topology optimization problems of continua. Zbl 1271.65099 Azegami, Hideyuki; Kaizu, Satoshi; Takeuchi, Kenzen 11 2011 The Poisson equation with nonautonomous semilinear boundary conditions in domains with many tiny holes. Zbl 0771.35021 Kaizu, Satoshi 8 1991 The Robin problems on domains with many tiny holes. Zbl 0587.35021 Kaizu, Satoshi 6 1985 Homogenization of eigenvalue problems for the Laplace operator with nonlinear terms in domains in many tiny holes. Zbl 0863.35068 Kaizu, Satoshi 3 1997 A monotone boundary condition for a domain with many tiny spherical holds. Zbl 0577.35042 Kaizu, Satoshi 3 1985 Upper semicontinuity of eigenvalues of selfadjoint operators defined on moving domains. Zbl 0584.35076 Kaizu, Satoshi 3 1985 An imbedding theorem for a Hilbert space appearing in electromagnetics. Zbl 0653.46026 Kaizu, Satoshi; Kikuchi, Fumio 2 1987 An average effect of many tiny holes in nonlinear boundary value problems with monotone boundary conditions. Zbl 0633.35028 Kaizu, Satoshi 2 1986 Behavior of solutions of the Poisson equation under fragmentation of the boundary of the domain. Zbl 0702.35012 Kaizu, Satoshi 2 1990 Convergence of solutions of nonlinear eigenvalue problems. Zbl 0842.35072 Kaizu, S.; Nishiyama, A.; Watanabe, J. 1 1994 The Gateau derivative of cost functions in the optimal shape problems and the existence of the shape derivatives of solutions of the Stokes problems. Zbl 1277.49050 Kaizu, Satoshi 1 2009 Regular solution to topology optimization problems of continua. Zbl 1271.65099 Azegami, Hideyuki; Kaizu, Satoshi; Takeuchi, Kenzen 11 2011 The Gateau derivative of cost functions in the optimal shape problems and the existence of the shape derivatives of solutions of the Stokes problems. Zbl 1277.49050 Kaizu, Satoshi 1 2009 Homogenization of eigenvalue problems for the Laplace operator with nonlinear terms in domains in many tiny holes. Zbl 0863.35068 Kaizu, Satoshi 3 1997 Convergence of solutions of nonlinear eigenvalue problems. Zbl 0842.35072 Kaizu, S.; Nishiyama, A.; Watanabe, J. 1 1994 The Poisson equation with nonautonomous semilinear boundary conditions in domains with many tiny holes. Zbl 0771.35021 Kaizu, Satoshi 8 1991 Behavior of solutions of the Poisson equation under fragmentation of the boundary of the domain. Zbl 0702.35012 Kaizu, Satoshi 2 1990 The Poisson equation with semilinear boundary conditions in domains with many tiny holes. Zbl 0678.35033 Kaizu, Satoshi 20 1989 An imbedding theorem for a Hilbert space appearing in electromagnetics. Zbl 0653.46026 Kaizu, Satoshi; Kikuchi, Fumio 2 1987 An average effect of many tiny holes in nonlinear boundary value problems with monotone boundary conditions. Zbl 0633.35028 Kaizu, Satoshi 2 1986 The Robin problems on domains with many tiny holes. Zbl 0587.35021 Kaizu, Satoshi 6 1985 A monotone boundary condition for a domain with many tiny spherical holds. Zbl 0577.35042 Kaizu, Satoshi 3 1985 Upper semicontinuity of eigenvalues of selfadjoint operators defined on moving domains. Zbl 0584.35076 Kaizu, Satoshi 3 1985 all cited Publications top 5 cited Publications all top 5 Cited by 51 Authors 10 Shaposhnikova, Tatiana A. 8 Azegami, Hideyuki 7 Podolskii, Alexander V. 6 Gómez, Delfina 5 Kaizu, Satoshi 5 Zubova, Maria N. 3 Díaz Díaz, Jesús Ildefonso 3 Gómez-Castro, David 3 Jimbo, Shuichi 3 Pérez, Eugenia 2 Douanla, Hermann 2 Lobo, Miguel Sousa 2 Pérez-martínez, María-eugenia 1 Aoki, Takayoshi 1 Aoyama, Taiki 1 Cui, Junzhi 1 Czarnecki, Sławomir 1 Donata, Patrizia 1 Dzierżanowski, Grzegorz 1 Fukui, Shinji 1 Fukumoto, Shota 1 Girouard, Alexandre 1 Henrot, Antoine 1 Jäger, Willi 1 Katamine, Eiji 1 Khil’kova, L. O. 1 Khrabustovskyi, Andrii 1 Khruslov, Eugene Yakovlevich 1 Kikuchi, Fumio 1 Kiriyama, Yasuyuki 1 Kondo, Naoya 1 Lagacé, Jean 1 Lewiński, Tomasz 1 Li, Zhihui 1 Ma, Qiang 1 Maeda, Noboru 1 Mikelić, Andro 1 Murai, Daisuke 1 Nakazawa, Takashi 1 Neuss-Radu, Maria 1 Pérez, Efrén 1 Plum, Michael 1 Primicerio, Mario 1 Saint Jean Paulin, Jeannine 1 Satake, Masayoshi 1 Shintani, Kohei 1 Tago, Kazuma 1 Umemura, Kimihiro 1 Yang, Zhiqiang 1 Ye, Shuyu 1 Zhou, Liren all top 5 Cited in 24 Serials 5 Proceedings of the Japan Academy. Series A 4 Japan Journal of Industrial and Applied Mathematics 4 Structural and Multidisciplinary Optimization 3 Journal of Mathematical Sciences (New York) 2 Applicable Analysis 2 Mathematical Methods in the Applied Sciences 2 Journal of Differential Equations 2 Japan Journal of Applied Mathematics 2 Doklady Mathematics 2 JSIAM Letters 2 Advances in Nonlinear Analysis 1 Archive for Rational Mechanics and Analysis 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Acta Applicandae Mathematicae 1 Applied Mathematical Modelling 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Boundary Value Problems 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 12 Fields 34 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Fluid mechanics (76-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) Citations by Year