On the Cauchy problem for the equation \(u'-\Delta u=u| u| ^{\gamma -1}\) in the supercritical case

DOI10.1007/BF03323237zbMath0681.35043OpenAlexW1999272674MaRDI QIDQ1823390

Wilfried Wieser

Publication date: 1988

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323237

zbMATH Keywords

Cauchy problemcritical exponentglobal existencePhragmén-Lindelöf principlesemilinearcorresponding stationary equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear elliptic equations (35J60)

Cites Work

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• Existence and non-existence of global solutions for a semilinear heat equation
• On the growing problem for semilinear heat equations
• Quasilinear Dirichlet problems driven by positive sources
• Global and local behavior of positive solutions of nonlinear elliptic equations
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

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