Blow-up of solutions of nonlinear heat equations in unbounded domains for slowly decaying initial data

DOI10.1007/PL00001581zbMath0993.35019OpenAlexW2064922990MaRDI QIDQ5956222

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Publication date: 19 September 2002

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001581

zbMATH Keywords

nonlinear parabolic equationssufficient condition on the decay at infinity of initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45)

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Blow-up solutions of semilinear parabolic equations on unbounded domains of \(R^N\) ⋮ The nonlinear heat equation involving highly singular initial values and new blowup and life span results ⋮ Global nonexistence of solutions to degenerate parabolic equations in unbounded domains

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