Subcritical nonlinear heat equation

Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions.

Original languageEnglish
Pages (from-to)366-380
Number of pages15
JournalJournal of Differential Equations
Volume238
Issue number2
DOIs
Publication statusPublished - 2007 Jul 15
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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