Existence and non-existence of global solutions for a discrete semilinear heat equation

Keisuke Matsuya;  ; Tetsuji Tokihiro

doi:10.3934/dcds.2011.31.209

Existence and non-existence of global solutions for a discrete semilinear heat equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2011.31.209 ◽

2011 ◽

Vol 31 (1) ◽

pp. 209-220 ◽

Cited By ~ 1

Author(s):

Keisuke Matsuya ◽

◽

Tetsuji Tokihiro

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation

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Boundedness of global solutions for a supercritical semilinear heat equation and its application

Indiana University Mathematics Journal ◽

10.1512/iumj.2005.54.2694 ◽

2005 ◽

Vol 54 (4) ◽

pp. 1047-1060 ◽

Cited By ~ 18

Author(s):

Noriko Mizoguchi

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation

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Asymptotically self-similar global solutions of a general semilinear heat equation

Mathematische Annalen ◽

10.1007/pl00004498 ◽

2001 ◽

Vol 321 (1) ◽

pp. 131-155 ◽

Cited By ~ 23

Author(s):

Seifeddine Snoussi ◽

Slim Tayachi ◽

Fred B. Weissler

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation ◽

Self Similar

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Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in Rn

Journal of Functional Analysis ◽

10.1016/j.jfa.2016.09.002 ◽

2017 ◽

Vol 272 (5) ◽

pp. 2005-2037 ◽

Cited By ~ 8

Author(s):

Philippe Souplet

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Morrey Spaces ◽

Semilinear Heat Equation

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On bounded and unbounded global solutions of a supercritical semilinear heat equation

Mathematische Annalen ◽

10.1007/s00208-003-0469-y ◽

2003 ◽

Vol 327 (4) ◽

pp. 745-771 ◽

Cited By ~ 62

Author(s):

Peter Pol� c ik ◽

Eiji Yanagida

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation

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Existence and non-existence of global solutions for a semilinear heat equation

Israel Journal of Mathematics ◽

10.1007/bf02761845 ◽

1981 ◽

Vol 38 (1-2) ◽

pp. 29-40 ◽

Cited By ~ 342

Author(s):

Fred B. Weissler

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation

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On nonexistence of global solutions for a semilinear heat equation on graphs

Nonlinear Analysis ◽

10.1016/j.na.2018.01.012 ◽

2018 ◽

Vol 171 ◽

pp. 73-84 ◽

Cited By ~ 2

Author(s):

Yiting Wu

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation

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The existence and nonexistence of global solutions for a semilinear heat equation on graphs

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-017-1204-y ◽

2017 ◽

Vol 56 (4) ◽

Cited By ~ 6

Author(s):

Yong Lin ◽

Yiting Wu

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation ◽

Existence And Nonexistence

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Global solutions for a semilinear heat equation in the exterior domain of a compact set

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2012.32.847 ◽

2012 ◽

Vol 32 (3) ◽

pp. 847-865

Author(s):

Kazuhiro Ishige ◽

◽

Michinori Ishiwata ◽

Keyword(s):

Heat Equation ◽

Exterior Domain ◽

Global Solutions ◽

Compact Set ◽

Semilinear Heat Equation

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The decay of global solutions of a semilinear heat equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2008.21.307 ◽

2008 ◽

Vol 21 (1) ◽

pp. 307-318 ◽

Cited By ~ 9

Author(s):

Pavol Quittner ◽

Keyword(s):

Heat Equation ◽

Global Solutions ◽

Semilinear Heat Equation

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Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation

Annales Scientifiques de l École Normale Supérieure ◽

10.24033/asens.2644 ◽

2017 ◽

Vol 50 (5) ◽

pp. 1241-1282 ◽

Cited By ~ 1

Author(s):

Van Tien Nguyen ◽

Hatem Zaag

Keyword(s):

Heat Equation ◽

Degrees Of Freedom ◽

Blow Up ◽

Semilinear Heat Equation

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