On the decay of solutions to the 2D Neumann exterior problem for the wave equation

Paolo Secchi, Yoshihiro Shibata

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We consider the exterior problem in the plane for the wave equation with a Neumann boundary condition and study the asymptotic behavior of the solution for large times. For possible application we are interested to show a decay estimate which does not involve weighted norms of the initial data. In the paper we prove such an estimate, by a combination of the estimate of the local energy decay and decay estimates for the free space solution.

本文言語English
ページ(範囲)221-236
ページ数16
ジャーナルJournal of Differential Equations
194
1
DOI
出版ステータスPublished - 2003 10 10

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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