Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type

M. Kirane, N. E. Tatar

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

We consider a problem which models the evolution of sound in a compressible fluid with reflection of sound at the surface of the material. Different methods such as the concavity method of Levine, the potential well method and an argument due to Tsutsumi are used to derive global non-existence theorems.

Original languageBritish English
Pages (from-to)453-468
Number of pages16
JournalZeitschrift fur Analysis und ihre Anwendung
Volume19
Issue number2
StatePublished - 2000

Keywords

  • Blow-up in finite time
  • Semilinear hyperbolic equations

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