The nonlinear heat equation involving highly singular initial values and new blowup and life span results

DOI10.1007/s41808-018-0014-5zbMath1391.35210arXiv1712.08213OpenAlexW2963931943MaRDI QIDQ1753960

Slim Tayachi, Fred B. Weissler

Publication date: 29 May 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08213

zbMATH Keywords

nonlinear heat equationfinite time blow-uphighly singular initial values

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Integral representations of solutions to PDEs (35C15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

Related Items

Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations, Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values, New life-span results for the nonlinear heat equation, Local well-posedness for the inhomogeneous nonlinear Schrödinger equation, The nonlinear heat equation involving highly singular initial values and new blowup and life span results, The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)

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