Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

Tohru Ozawa, Yusuke Yamauchi

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We prove upper bounds on the life span of positive solutions for a semilinear heat equation. For non-decaying initial data, it is well known that the solutions blow up in finite time. We give two types estimates of the life span in terms of the limiting values of the initial data in space.

Original languageEnglish
Pages (from-to)518-523
Number of pages6
JournalJournal of Mathematical Analysis and Applications
Volume379
Issue number2
DOIs
Publication statusPublished - 2011 Jul 15

Keywords

  • Blow up
  • Cauchy problem
  • Life span
  • Semilinear heat equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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