The heat equation for the Dirichlet fractional Laplacian with negative potentials: existence and blow-up of nonnegative solutions

DOI10.1007/s10114-017-6246-8zbMath1386.35130arXiv1402.3141OpenAlexW2962829876MaRDI QIDQ2404068

Ali Ben Amor, Tarek Kenzizi

Publication date: 12 September 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3141

zbMATH Keywords

heat equationblow-upDirichlet formfractional Laplacian

Mathematics Subject Classification ID

Related Items (6)

Multiplicity of nontrivial solutions for a class of fractional elliptic equations ⋮ Doob'sω-transform of parabolic problem for fractional Laplacian ⋮ The heat equation for local Dirichlet forms: existence and blow up of nonnegative solutions ⋮ Doob’s ω-Transform on Local Dirichlet Spaces ⋮ Existence of nonnegative solutions for a fractional parabolic equation in the entire space ⋮ A parabolic equation for the fractional Laplacian in the entire space: blow-up of nonnegative solutions

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