On the problem of preventing blowing-up and quenching for semilinear heat equation

DOI10.1007/BF01900609zbMath0615.35042OpenAlexW2007423423MaRDI QIDQ1820927

Ziqian Yan

Publication date: 1986

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01900609

zbMATH Keywords

global existencequenchingsemilinear heat equationblowing-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

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• Existence and non-existence of global solutions for a semilinear heat equation
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• On nonexistence of global solutions of some semilinear parabolic differential equations
• On the growth of solutions of quasi‐linear parabolic equations

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