Critical exponent for nonlinear damped wave equations with non-negative potential in 3D

Vladimir Georgiev, Hideo Kubo, Kyouhei Wakasa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We are studying possible interaction of damping coefficients in the subprincipal part of the linear 3D wave equation and their impact on the critical exponent of the corresponding nonlinear Cauchy problem with small initial data. The main new phenomena is that certain relation between these coefficients may cause very strong jump of the critical Strauss exponent in 3D to the critical 5D Strauss exponent for the wave equation without damping coefficients.

Original languageEnglish
Pages (from-to)3271-3288
Number of pages18
JournalJournal of Differential Equations
Volume267
Issue number5
DOIs
Publication statusPublished - 2019 Aug 15

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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