An extension of Dickstein's ``small lambda theorem for finite time blowup

DOI10.1016/j.na.2011.05.089zbMath1229.35121OpenAlexW2051998182MaRDI QIDQ640136

Tej-Eddine Ghoul

Publication date: 17 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.05.089

zbMATH Keywords

local existencerescalingsign-changing solutionsweak initial data

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (6)

New life-span results for the nonlinear heat equation ⋮ Existence of solutions to fractional semilinear parabolic equations in Besov-Morrey spaces ⋮ Global existence for the nonlinear heat equation in the Fujita subcritical case with initial value having zero mean value ⋮ Remarks on the Cauchy problem for the one-dimensional quadratic (fractional) heat equation ⋮ The nonlinear heat equation involving highly singular initial values and new blowup and life span results ⋮ The nonlinear heat equation with high order mixed derivatives of the Dirac delta as initial values

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