Open Access
October, 2008 An alternative proof of global existence for nonlinear wave equations in an exterior domain
Soichiro KATAYAMA, Hideo KUBO
J. Math. Soc. Japan 60(4): 1135-1170 (October, 2008). DOI: 10.2969/jmsj/06041135

Abstract

The aim of this article is to present a simplified proof of a global existence result for systems of nonlinear wave equations in an exterior domain. The novelty of our proof is to avoid completely the scaling operator which would make the argument complicated in the mixed problem, by using new weighted pointwise estimates of a tangential derivative to the light cone.

Citation

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Soichiro KATAYAMA. Hideo KUBO. "An alternative proof of global existence for nonlinear wave equations in an exterior domain." J. Math. Soc. Japan 60 (4) 1135 - 1170, October, 2008. https://doi.org/10.2969/jmsj/06041135

Information

Published: October, 2008
First available in Project Euclid: 5 November 2008

zbMATH: 1156.35058
MathSciNet: MR2467873
Digital Object Identifier: 10.2969/jmsj/06041135

Subjects:
Primary: 35L70
Secondary: 35L20

Keywords: exterior domain , Nonlinear wave equation , null condition

Rights: Copyright © 2008 Mathematical Society of Japan

Vol.60 • No. 4 • October, 2008
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