Fujita's exponent for a semilinear wave equation with linear damping

Mokhtar Kirane, Mahmoud Qafsaoui

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

We discuss the critical exponent problem for the semilinear wave equation with linear damping utt + (-1)m\x\ αδmu + ut = f(t,x)\u\p + w(t,x) , t > 0, x€Rn and show that it coincides with the Fujita exponent for the heat equation with the same nonlinearity.

Original languageBritish English
Pages (from-to)41-49
Number of pages9
JournalAdvanced Nonlinear Studies
Volume2
Issue number1
DOIs
StatePublished - 2002

Keywords

  • Blow-up
  • Damping
  • Fujita's exponent
  • Nonlinear wave equation

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