Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion

Kazuhiro Ishige

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.

Original languageEnglish
Pages (from-to)1003-1024
Number of pages22
JournalAdvances in Differential Equations
Volume7
Issue number8
Publication statusPublished - 2002 Dec 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion'. Together they form a unique fingerprint.

Cite this