A characteristic of local existence for nonlinear fractional heat equations in Lebesgue spaces

DOI10.1016/j.camwa.2016.12.031zbMath1386.35447arXiv1606.01890OpenAlexW2578617165MaRDI QIDQ2013458

Kexue Li

Publication date: 18 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.01890

zbMATH Keywords

local existencenon-existencefractional heat equationDirichlet fractional heat kernel

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11)

Related Items

Local existence for evolution equations with nonlocal term in time and singular initial data, Fractional semilinear heat equations with singular and nondecaying initial data, Well-posedness of semilinear heat equations in \(L^1\), A blow-up dichotomy for semilinear fractional heat equations, Local existence and non-existence for a fractional reaction-diffusion equation in Lebesgue spaces, On the local existence for a weakly parabolic system in Lebesgue spaces

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