Entire and ancient solutions of a supercritical semilinear heat equation

Peter Poláčik;  ; Pavol Quittner;

doi:10.3934/dcds.2020136

Entire and ancient solutions of a supercritical semilinear heat equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020136 ◽

2021 ◽

Vol 41 (1) ◽

pp. 413-438

Author(s):

Peter Poláčik ◽

◽

Pavol Quittner ◽

Keyword(s):

Heat Equation ◽

Semilinear Heat Equation ◽

Ancient Solutions

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A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart

Electronic Research Archive ◽

10.3934/era.2021016 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Christos Sourdis

Keyword(s):

Heat Equation ◽

Liouville Theorem ◽

Semilinear Heat Equation ◽

Ancient Solutions

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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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A remark on self-similar solutions for a semilinear heat equation with critical Sobolev exponent

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410461 ◽

2019 ◽

Author(s):

Yūki Naito

Keyword(s):

Heat Equation ◽

Critical Sobolev Exponent ◽

Semilinear Heat Equation ◽

Self Similar ◽

Sobolev Exponent ◽

Remarks on a semilinear heat equation with integral boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2006.06.012 ◽

2007 ◽

Vol 67 (2) ◽

pp. 468-475 ◽

Cited By ~ 7

Author(s):

Dao-Qing Dai ◽

Yu Huang

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Integral Boundary Conditions ◽

Integral Boundary ◽

Semilinear Heat Equation

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Corrigendum to “Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions” [J. Math. Anal. Appl. 492 (2) (2020) 124512]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124941 ◽

2021 ◽

Vol 498 (1) ◽

pp. 124941

Author(s):

Ionuţ Munteanu

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Exponential Stabilization ◽

Semilinear Heat Equation

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Minimal Time Impulse Control Problem of Semilinear Heat Equation

Journal of Optimization Theory and Applications ◽

10.1007/s10957-020-01807-6 ◽

2021 ◽

Author(s):

Lijuan Wang

Keyword(s):

Heat Equation ◽

Control Problem ◽

Impulse Control ◽

Semilinear Heat Equation ◽

Impulse Control Problem ◽

Minimal Time

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The quenching phenomenon of a nonlocal semilinear heat equation with a weak singularity

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.01.006 ◽

2008 ◽

Vol 201 (1-2) ◽

pp. 701-709 ◽

Cited By ~ 1

Author(s):

Yuanhong Zhi ◽

Chunlai Mu ◽

Daming Yuan

Keyword(s):

Heat Equation ◽

Weak Singularity ◽

Semilinear Heat Equation ◽

Quenching Phenomenon

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CHARACTERIZATION OF BLOW-UP FOR A SEMILINEAR HEAT EQUATION WITH A CONVECTION TERM

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/42.3.447 ◽

1989 ◽

Vol 42 (3) ◽

pp. 447-456 ◽

Cited By ~ 6

Author(s):

J. BEBERNES ◽

D. EBERLY

Keyword(s):

Heat Equation ◽

Blow Up ◽

Convection Term ◽

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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Quantitative unique continuation for the semilinear heat equation in a convex domain

Journal of Functional Analysis ◽

10.1016/j.jfa.2010.04.015 ◽

2010 ◽

Vol 259 (5) ◽

pp. 1230-1247 ◽

Cited By ~ 25

Author(s):

Kim Dang Phung ◽

Gengsheng Wang

Keyword(s):

Heat Equation ◽

Convex Domain ◽

Unique Continuation ◽

Semilinear Heat Equation ◽

Quantitative Unique Continuation

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