Finite time blow-up for damped wave equations with space–time dependent potential and nonlinear memory

I. Dannawi, M. Kirane, A. Z. Fino

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

In this paper, we consider the Cauchy problem in Rn, n≥ 1 , for semilinear damped wave equations with space–time dependent potential and nonlinear memory. A blow-up result under some positive data in any dimensional space is obtained. Moreover, the local existence in the energy space is also studied.

Original languageBritish English
Article number38
JournalNonlinear Differential Equations and Applications
Volume25
Issue number5
DOIs
StatePublished - 1 Oct 2018

Keywords

  • Blow-up
  • Local existence
  • Nonlinear damped wave equation
  • Subcritical potential

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