Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent

Ning An Lai, Hiroyuki Takamura, Kyouhei Wakasa

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)

Abstract

The blow-up for semilinear wave equations with the scale invariant damping has been well-studied for sub-Fujita exponent. However, for super-Fujita exponent, there is only one blow-up result which is obtained in 2014 by Wakasugi in the case of non-effective damping. In this paper we extend his result in two aspects by showing that: (I) the blow-up will happen for bigger exponent, which is closely related to the Strauss exponent, the critical number for non-damped semilinear wave equations; (II) such a blow-up result is established for a wider range of the constant than the known non-effective one in the damping term.

Original languageEnglish
Pages (from-to)5377-5394
Number of pages18
JournalJournal of Differential Equations
Volume263
Issue number9
DOIs
Publication statusPublished - 2017 Nov 5
Externally publishedYes

Keywords

  • Blow-up
  • Damped wave equation
  • Semilinear

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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