Global existence for semilinear wave equations in exterior domains

M. Nakao

研究成果: Article査読

抄録

We consider exterior problems for linear and semilinear wave equations. We first derive total energy decay for the linear wave equation with a localized dissipation which is effective near infinity and critical part of the boundary. This can be applied to the proof of the global existence of finite energy or H2 solutions for semilinear wave equations. Next, by use of the local energy decay: we show Lp estimates for the linear equations with a dissipation effective only near a part of the boundary and apply this again to the global existence of semilinear equations.

本文言語English
ページ(範囲)2497-2506
ページ数10
ジャーナルNonlinear Analysis, Theory, Methods and Applications
47
4
DOI
出版ステータスPublished - 2001 8
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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