Asymptotic behavior at infinity of the stationary solution to a semilinear heat equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.01.016 ◽

2014 ◽

Vol 67 (6) ◽

pp. 1289-1292

Author(s):

Ruihong Ji ◽

Mingshu Fan ◽

Hui Chen

Keyword(s):

Asymptotic Behavior ◽

Heat Equation ◽

Stationary Solution ◽

Semilinear Heat Equation

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Some Aspects of the Asymptotic Behavior of the Solutions of the Semilinear Heat Equation in Vanishing Time and Approximate Controllability

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1995.1333 ◽

1995 ◽

Vol 194 (3) ◽

pp. 858-882 ◽

Author(s):

A.Y. Khapalov

Keyword(s):

Asymptotic Behavior ◽

Heat Equation ◽

Approximate Controllability ◽

Semilinear Heat Equation

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Asymptotic behavior of threshold and sub-threshold solutions of a semilinear heat equation

Asymptotic Analysis ◽

10.3233/asy-2008-0872 ◽

2008 ◽

Vol 57 (3-4) ◽

pp. 125-141 ◽

Author(s):

Peter Poláčik ◽

Pavol Quittner

Keyword(s):

Asymptotic Behavior ◽

Heat Equation ◽

Semilinear Heat Equation

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Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(16)30095-6 ◽

1996 ◽

Vol 13 (1) ◽

pp. 1-15 ◽

Author(s):

Tadashi Kawanago

Keyword(s):

Asymptotic Behavior ◽

Heat Equation ◽

Asymptotic Behavior Of Solutions ◽

Semilinear Heat Equation ◽

Subcritical Nonlinearity

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Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation

Advanced Nonlinear Studies ◽

10.1515/ans-2016-6005 ◽

2017 ◽

Vol 17 (1) ◽

Author(s):

Tej-Eddine Ghoul ◽

Van Tien Nguyen ◽

Hatem Zaag

Keyword(s):

Asymptotic Behavior ◽

Heat Equation ◽

Blow Up ◽

Semilinear Heat Equation

AbstractWe consider

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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 ◽

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 ◽

Similar Solutions

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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 ◽

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 ◽

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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 ◽

Author(s):

Yuanhong Zhi ◽

Chunlai Mu ◽

Daming Yuan

Keyword(s):

Heat Equation ◽

Weak Singularity ◽

Semilinear Heat Equation ◽

Quenching Phenomenon

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