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Blow-up for semilinear parabolic equations with critical Sobolev exponent

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Publication:1951421
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DOI10.3934/CPAA.2013.12.1103zbMath1270.35135OpenAlexW2331999118MaRDI QIDQ1951421

Li Ma

Publication date: 6 June 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1103


zbMATH Keywords

blow-upDirichlet boundary conditionpositive solutionglobal existenceomega-limit


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09)


Related Items (5)

Ground states of a nonlinear drifting Schrödinger equation ⋮ Invariant sets and the blow up threshold for a nonlocal equation of parabolic type ⋮ Blow up threshold for a parabolic type equation involving space integral and variational structure ⋮ Invariant sets and the blow up threshold for coupled systems of reaction–diffusion ⋮ Nonexistence of global solutions for quasilinear backward parabolic inequalities with \(p\)-Laplace-type operator







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