Blow-up set for a semilinear heat equation with small diffusion

DOI10.1016/j.jde.2010.03.028zbMath1204.35054OpenAlexW2060813098MaRDI QIDQ983280

Yohei Fujishima, Kazuhiro Ishige

Publication date: 22 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2010.03.028

zbMATH Keywords

semilinear heat equationblow-up setsmall diffusionmaximum points of initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09)

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