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

Vladimir Georgiev, Hideo Kubo, Kyouhei Wakasa*

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)3271-3288
ページ数18
ジャーナルJournal of Differential Equations
267
5
DOI
出版ステータスPublished - 2019 8 15

ASJC Scopus subject areas

  • 分析
  • 応用数学

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