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

Paolo Secchi, Yoshihiro Shibata

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)221-236
Number of pages16
JournalJournal of Differential Equations
Volume194
Issue number1
DOIs
Publication statusPublished - 2003 Oct 10

Keywords

  • Asymptotic behavior
  • Decay rate
  • Exterior domain
  • Local energy decay
  • Neumann boundary condition
  • Wave equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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