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VOL. 64 | 2015 On the solutions for nonlinear wave equations with localized dissipations in exterior domains
Makoto Nakamura

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

The Cauchy problem for nonlinear wave equations with localized dissipation is considered in exterior domains outside of compact obstacles in three spatial dimensions. Under the null conditions for the quadratic nonlinear terms, the global solutions are shown for sufficiently small data. The solutions which have different propagation speeds are considered.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1342.35165
MathSciNet: MR3381214

Digital Object Identifier: 10.2969/aspm/06410289

Subjects:
Primary: 35L70

Keywords: exterior domains , global solutions , localized dissipations , nonlinear wave equations

Rights: Copyright © 2015 Mathematical Society of Japan

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