Solutions with time-dependent singular sets for the heat equation with absorption

DOI10.1016/j.jde.2018.09.029zbMath1405.35094arXiv1712.06065OpenAlexW2962868354MaRDI QIDQ1710732

Hikaru Yamamoto, Jin Takahashi

Publication date: 23 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06065

zbMATH Keywords

semilinear heat equationsingular solutiontime-dependent singularityhigher dimensional singular set

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear parabolic equations (35K58)

Related Items (2)

Solutions with snaking singularities for the fast diffusion equation ⋮ Moving singularities for nonlinear diffusion equations in two space dimensions

Cites Work

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• Problems paraboliques semi-lineaires avec donnees measures
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• On the Cauchy Problem for Reaction-Diffusion Equations

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