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VOL. 47.1 | 2007 Uniform decay estimates for the wave equation in an exterior domain
Hideo Kubo

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Abstract

The aim of this article is to establish a uniform pointwise decay estimate for the solution of the mixed problem for the linear wave equation in three space dimensions. We prove such an estimate by using the "cut-off method" as in the work of Shibata and Tsutsumi [23]. As an application, we treat the mixed problem for quadratically quasilinear wave equations exterior to a non-trapping obstacle.

Information

Published: 1 January 2007
First available in Project Euclid: 16 December 2018

MathSciNet: MR2387224

Digital Object Identifier: 10.2969/aspm/04710031

Rights: Copyright © 2007 Mathematical Society of Japan

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