On the decay of solutions to the 2D Neumann exterior problem for the wave equation.
type: Item
instance of: scholarly article
title: On the decay of solutions to the 2D Neumann exterior problem for the wave equation.
zbMATH Open document ID: 1160.35460
DOI: 10.1016/S0022-0396(03)00189-X
author: Paolo Secchi
author: Yoshihiro Shibata
published in: Journal of Differential Equations
publication date: 2003-11-16T00:00:00Z
review text: The mixed problem for the wave equation with Neumann boundary condition is considered. In the paper [Pointwise decay for solutions of the 2D Neumann exterior problem for the wave equation. II, Rend. Semin. Mat. Univ. Padova 108, 67--77 (2002; Zbl 1072.35110)], the first author of this article was already concerned with the asymptotic behaviour of the solution for large times. The aim of the present paper is to get a decay estimate which does not depend on weighted norms of the data. This is achieved by combining local energy decay estimates with decay estimates for the free space solution.
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 2003930
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: decay estimates
reviewed by: Claudia Simionescu-Badea
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2003930