## Sakaguchi, Shigeru

Compute Distance To:
 Author ID: sakaguchi.shigeru Published as: Sakaguchi, Shigeru; Sakaguchi, S.
 Documents Indexed: 56 Publications since 1984 3 Contributions as Editor Reviewing Activity: 102 Reviews Co-Authors: 23 Co-Authors with 37 Joint Publications 571 Co-Co-Authors
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### Co-Authors

 21 single-authored 19 Magnanini, Rolando 5 Kang, Hyeonbae 3 Li, Xiaofei 3 Suzuki, Takashi 2 Cavallina, Lorenzo 2 Ciraolo, Giulio 2 Kamalia, Putri Zahra 2 Koike, Shigeaki 1 Alvino, Angelo 1 Cuccu, Fabrizio 1 Enache, Cristian 1 Henrot, Antoine 1 Ji, Yong-Gwan 1 Jimbo, Shuichi 1 Kawakami, Tatsuki 1 Kozono, Hideo 1 Lee, Hyundae 1 Morimoto, Hiroaki 1 Ogawa, Takayoshi 1 Ohnuma, Masaki 1 Peralta-Salas, Daniel 1 Porru, Giovanni 1 Prajapat, Jyotshana V. 1 Shimabe, O. 1 Tscheckl, M.
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### Serials

 5 Journal d’Analyse Mathématique 4 Journal of Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Kodai Mathematical Journal 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 The Journal of Geometric Analysis 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Mathematical Methods in the Applied Sciences 1 Indiana University Mathematics Journal 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 RIMS Kokyuroku 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Discrete and Continuous Dynamical Systems. Series B 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Springer Proceedings in Mathematics & Statistics 1 Springer INdAM Series 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 56 Partial differential equations (35-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Differential geometry (53-XX) 2 Convex and discrete geometry (52-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

36 Publications have been cited 290 times in 179 Documents Cited by Year
Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems. Zbl 0665.35025
Sakaguchi, Shigeru
1987
Matzoh ball soup: Heat conductors with a stationary isothermic surface. Zbl 1011.35066
Magnanini, Rolando; Sakaguchi, Shigeru
2002
Movement of hot spots over unbounded domains in $${\mathbb{R}}^ N$$. Zbl 0830.35046
Jimbo, Shuichi; Sakaguchi, Shigeru
1994
Symmetry of minimizers with a level surface parallel to the boundary. Zbl 1335.49059
Ciraolo, Giulio; Magnanini, Rolando; Sakaguchi, Shigeru
2015
Nonlinear diffusion with a bounded stationary level surface. Zbl 1194.35209
Magnanini, Rolando; Sakaguchi, Shigeru
2010
Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundaries. Zbl 1231.35080
Enache, Cristian; Sakaguchi, Shigeru
2011
Stationary isothermic surfaces for unbounded domains. Zbl 1140.35460
Magnanini, Rolando; Sakaguchi, Shigeru
2007
Interaction between nonlinear diffusion and geometry of domain. Zbl 1243.35096
Magnanini, Rolando; Sakaguchi, Shigeru
2012
Stationary isothermic surfaces and uniformly dense domains. Zbl 1129.35005
Magnanini, R.; Prajapat, J.; Sakaguchi, S.
2006
Matzoh ball soup revisited: the boundary regularity issue. Zbl 1279.35062
Magnanini, Rolando; Sakaguchi, Shigeru
2013
Optimization problems on general classes of rearrangements. Zbl 1219.35066
Cuccu, F.; Porru, G.; Sakaguchi, S.
2011
On heat conductors with a stationary hot spot. Zbl 1223.35185
Sakaguchi, Shigeru; Magnanini, Rolando
2004
Interaction between degenerate diffusion and shape of domain. Zbl 1120.35057
Magnanini, R.; Sakaguchi, S.
2007
Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration. Zbl 1338.35132
Ciraolo, Giulio; Magnanini, Rolando; Sakaguchi, Shigeru
2016
An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions. Zbl 1364.35208
Kang, Hyeonbae; Lee, Hyundae; Sakaguchi, Shigeru
2016
Stationary isothermic surfaces and some characterizations of the hyperplane in the $$N$$-dimensional Euclidean space. Zbl 1213.35326
Magnanini, Rolando; Sakaguchi, Shigeru
2010
The spatial critical points not moving along the heat flow. Zbl 0892.35010
Magnanini, Rolando; Sakaguchi, Shigeru
1997
Uniqueness of the critical point of the solutions to some semilinear elliptic boundary value problems in $${\mathbb{R}}^ 2$$. Zbl 0709.35017
Sakaguchi, Shigeru
1990
Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition. Zbl 0886.35082
Sakaguchi, Shigeru; Suzuki, Takashi
1998
Stationary isothermic surfaces in Euclidean 3-space. Zbl 1342.35131
Magnanini, Rolando; Peralta-Salas, Daniel; Sakaguchi, Shigeru
2016
Metric discrepancy results for geometric progressions with small ratios. Zbl 1413.11090
Fukuyama, K.; Sakaguchi, S.; Shimabe, O.; Toyoda, T.; Tscheckl, M.
2018
The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations. Zbl 0867.35054
Sakaguchi, Shigeru
1996
When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable? Zbl 0939.35014
Sakaguchi, Shigeru
1999
Critical points of solutions to the obstacle problem in the plane. Zbl 0823.35068
Sakaguchi, Shigeru
1994
Spatial critical points not moving along the heat flow. II: The centrosymmetric case. Zbl 1002.35012
Magnanini, Rolando; Sakaguchi, Shigeru
1999
Two-phase heat conductors with a stationary isothermic surface. Zbl 1368.35157
Sakaguchi, Shigeru
2016
Spatial critical points of nonnegative solutions of the evolution $$p$$-Laplacian equation: the fast diffusion case. Zbl 0940.35117
Sakaguchi, Shigeru
1997
Regularity of the interfaces with sign changes of solutions of the one-dimensional porous medium equation. Zbl 0990.35079
Sakaguchi, Shigeru
2002
Interaction between fast diffusion and geometry of domain. Zbl 1317.35126
Sakaguchi, Shigeru
2014
A simple proof of a strong comparison principle for semicontinuous viscosity solutions of the prescribed mean curvature equation. Zbl 1414.35096
Ohnuma, Masaki; Sakaguchi, Shigeru
2019
Stationary level surfaces and Liouville-type theorems characterizing hyperplanes. Zbl 1272.35057
Sakaguchi, Shigeru
2013
Some characterizations of parallel hyperplanes in multi-layered heat conductors. Zbl 1448.35274
Sakaguchi, Shigeru
2020
Star shaped coincidence sets in the obstacle problem. Zbl 0539.49004
Sakaguchi, Shigeru
1984
Interior imperfect ignition cannot occur on a set of positive measure. Zbl 0908.35008
Sakaguchi, Shigeru; Suzuki, Takashi
1998
A linear-quadratric control problem with discretionary stopping. Zbl 1220.49021
Koike, Shigeaki; Morimoto, Hiroaki; Sakaguchi, Shigeru
2007
Polygonal heat conductors with a stationary hot spot. Zbl 1176.35013
Magnanini, Rolando; Sakaguchi, Shigeru
2008
Some characterizations of parallel hyperplanes in multi-layered heat conductors. Zbl 1448.35274
Sakaguchi, Shigeru
2020
A simple proof of a strong comparison principle for semicontinuous viscosity solutions of the prescribed mean curvature equation. Zbl 1414.35096
Ohnuma, Masaki; Sakaguchi, Shigeru
2019
Metric discrepancy results for geometric progressions with small ratios. Zbl 1413.11090
Fukuyama, K.; Sakaguchi, S.; Shimabe, O.; Toyoda, T.; Tscheckl, M.
2018
Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration. Zbl 1338.35132
Ciraolo, Giulio; Magnanini, Rolando; Sakaguchi, Shigeru
2016
An over-determined boundary value problem arising from neutrally coated inclusions in three dimensions. Zbl 1364.35208
Kang, Hyeonbae; Lee, Hyundae; Sakaguchi, Shigeru
2016
Stationary isothermic surfaces in Euclidean 3-space. Zbl 1342.35131
Magnanini, Rolando; Peralta-Salas, Daniel; Sakaguchi, Shigeru
2016
Two-phase heat conductors with a stationary isothermic surface. Zbl 1368.35157
Sakaguchi, Shigeru
2016
Symmetry of minimizers with a level surface parallel to the boundary. Zbl 1335.49059
Ciraolo, Giulio; Magnanini, Rolando; Sakaguchi, Shigeru
2015
Interaction between fast diffusion and geometry of domain. Zbl 1317.35126
Sakaguchi, Shigeru
2014
Matzoh ball soup revisited: the boundary regularity issue. Zbl 1279.35062
Magnanini, Rolando; Sakaguchi, Shigeru
2013
Stationary level surfaces and Liouville-type theorems characterizing hyperplanes. Zbl 1272.35057
Sakaguchi, Shigeru
2013
Interaction between nonlinear diffusion and geometry of domain. Zbl 1243.35096
Magnanini, Rolando; Sakaguchi, Shigeru
2012
Some fully nonlinear elliptic boundary value problems with ellipsoidal free boundaries. Zbl 1231.35080
Enache, Cristian; Sakaguchi, Shigeru
2011
Optimization problems on general classes of rearrangements. Zbl 1219.35066
Cuccu, F.; Porru, G.; Sakaguchi, S.
2011
Nonlinear diffusion with a bounded stationary level surface. Zbl 1194.35209
Magnanini, Rolando; Sakaguchi, Shigeru
2010
Stationary isothermic surfaces and some characterizations of the hyperplane in the $$N$$-dimensional Euclidean space. Zbl 1213.35326
Magnanini, Rolando; Sakaguchi, Shigeru
2010
Polygonal heat conductors with a stationary hot spot. Zbl 1176.35013
Magnanini, Rolando; Sakaguchi, Shigeru
2008
Stationary isothermic surfaces for unbounded domains. Zbl 1140.35460
Magnanini, Rolando; Sakaguchi, Shigeru
2007
Interaction between degenerate diffusion and shape of domain. Zbl 1120.35057
Magnanini, R.; Sakaguchi, S.
2007
A linear-quadratric control problem with discretionary stopping. Zbl 1220.49021
Koike, Shigeaki; Morimoto, Hiroaki; Sakaguchi, Shigeru
2007
Stationary isothermic surfaces and uniformly dense domains. Zbl 1129.35005
Magnanini, R.; Prajapat, J.; Sakaguchi, S.
2006
On heat conductors with a stationary hot spot. Zbl 1223.35185
Sakaguchi, Shigeru; Magnanini, Rolando
2004
Matzoh ball soup: Heat conductors with a stationary isothermic surface. Zbl 1011.35066
Magnanini, Rolando; Sakaguchi, Shigeru
2002
Regularity of the interfaces with sign changes of solutions of the one-dimensional porous medium equation. Zbl 0990.35079
Sakaguchi, Shigeru
2002
When are the spatial level surfaces of solutions of diffusion equations invariant with respect to the time variable? Zbl 0939.35014
Sakaguchi, Shigeru
1999
Spatial critical points not moving along the heat flow. II: The centrosymmetric case. Zbl 1002.35012
Magnanini, Rolando; Sakaguchi, Shigeru
1999
Nonexistence of solutions for a degenerate parabolic equation describing imperfect ignition. Zbl 0886.35082
Sakaguchi, Shigeru; Suzuki, Takashi
1998
Interior imperfect ignition cannot occur on a set of positive measure. Zbl 0908.35008
Sakaguchi, Shigeru; Suzuki, Takashi
1998
The spatial critical points not moving along the heat flow. Zbl 0892.35010
Magnanini, Rolando; Sakaguchi, Shigeru
1997
Spatial critical points of nonnegative solutions of the evolution $$p$$-Laplacian equation: the fast diffusion case. Zbl 0940.35117
Sakaguchi, Shigeru
1997
The number of peaks of nonnegative solutions to some nonlinear degenerate parabolic equations. Zbl 0867.35054
Sakaguchi, Shigeru
1996
Movement of hot spots over unbounded domains in $${\mathbb{R}}^ N$$. Zbl 0830.35046
Jimbo, Shuichi; Sakaguchi, Shigeru
1994
Critical points of solutions to the obstacle problem in the plane. Zbl 0823.35068
Sakaguchi, Shigeru
1994
Uniqueness of the critical point of the solutions to some semilinear elliptic boundary value problems in $${\mathbb{R}}^ 2$$. Zbl 0709.35017
Sakaguchi, Shigeru
1990
Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems. Zbl 0665.35025
Sakaguchi, Shigeru
1987
Star shaped coincidence sets in the obstacle problem. Zbl 0539.49004
Sakaguchi, Shigeru
1984
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### Cited by 185 Authors

 22 Sakaguchi, Shigeru 20 Magnanini, Rolando 9 Ciraolo, Giulio 9 Hai, Dang Dinh 6 Hynd, Ryan 6 Sakata, Shigehiro 5 Chu, Khanh Duc 5 Salani, Paolo 5 Shivaji, Ratnasingham 5 Yang, Zuodong 4 Deng, Haiyun 4 Fragalà, Ilaria 4 Guo, Zongming 4 Ishige, Kazuhiro 4 Kang, Hyeonbae 4 Lindgren, Erik 4 Liu, Hairong 4 Tian, Long 3 Crasta, Graziano 3 Emamizadeh, Behrouz 3 Ercole, Grey 3 Kabeya, Yoshitsugu 3 Kubo, Masahiro 3 Li, Xiaofei 3 Liu, Yichen 3 Marini, Michele 3 Wang, Lizhou 2 Anderson, Douglas Robert 2 Arruda, Suellen Cristina Q. 2 Berti, Diego 2 Bueno, Hamilton P. 2 Cheng, Yuanji 2 El-Hajj, Layan 2 Gavitone, Nunzia 2 Kawohl, Bernd 2 Li, Yongqing 2 Lindqvist, Peter 2 Liu, Qing 2 Lorca, Sebastian Antonio 2 Lu, Quqin 2 Miao, Qing 2 Mohammadi, Seyyed Abbas 2 da Silva Montenegro, Marcelo 2 Nascimento, Rúbia G. 2 Nitsch, Carlo 2 Peralta-Salas, Daniel 2 Savo, Alessandro 2 Shahgholian, Henrik 2 Squassina, Marco 2 Trombetti, Cristina 2 Voss, Heinrich 2 Wakasugi, Yuta 2 Zhong, Yansheng 1 Agostiniani, Virginia 1 Alessandrini, Giovanni 1 Alotaibi, Trad 1 Alvarez, Felipe 1 Anedda, Claudia 1 Antunes, Pedro Ricardo Simão 1 Arango, Jaime 1 Avery, Richard I. 1 Barbosa, Ezequiel R. 1 Bellomi, Marcello 1 Belloni, Marino 1 Benedikt, Jiří 1 Bianchini, Chiara 1 Biezuner, Rodney Josué 1 Bonheure, Denis 1 Bouchitté, Guy 1 Brandolini, Barbara 1 Brown, Jed 1 Bucur, Claudia 1 Cabré, Xavier 1 Caliari, Marco 1 Capella, Antonio 1 Cavallina, Lorenzo 1 Chaudhary, Sudhakar 1 Chen, Jiantao 1 Cheng, Zhiwei 1 Chorwadwala, Anisa M. H. 1 Chung, Jaywan 1 Cuccu, Fabrizio 1 Dai, Qiuyi 1 Dong, Wei 1 Drábek, Pavel 1 Farjudian, Amin 1 Fernández Bonder, Julián 1 Figalli, Alessio 1 Figueiredo, Giovany Malcher 1 Flores, Salvador 1 Földes, Juraj 1 Fu, Yuxia 1 Fujii, Ataru 1 Ghilli, Daria 1 Goffi, Alessandro 1 Gómez, Adriana 1 Henderson, Johnny Lee 1 Henrot, Antoine 1 Høeg, Fredrik Arbo 1 Hu, Shipei ...and 85 more Authors
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### Cited in 75 Serials

 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Mathematical Analysis and Applications 15 Journal of Differential Equations 7 Calculus of Variations and Partial Differential Equations 5 Journal d’Analyse Mathématique 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Applied Mathematics Letters 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Nonlinear Analysis. Theory, Methods & Applications 3 Applicable Analysis 3 Indian Journal of Pure & Applied Mathematics 3 Indiana University Mathematics Journal 3 The Journal of Geometric Analysis 3 Communications in Partial Differential Equations 3 Communications on Pure and Applied Analysis 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Analysis. Real World Applications 2 Complex Variables and Elliptic Equations 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization 1 Tokyo Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 International Journal of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 St. Petersburg Mathematical Journal 1 Journal of Convex Analysis 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Analysis (München) 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Proceedings of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana 1 Annales Fennici Mathematici
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### Cited in 21 Fields

 159 Partial differential equations (35-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 12 Differential geometry (53-XX) 11 Operator theory (47-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Convex and discrete geometry (52-XX) 8 Ordinary differential equations (34-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 4 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX)