An alternative proof of global existence for nonlinear wave equations in an exterior domain
Soichiro KATAYAMA and Hideo KUBO
Source: J. Math. Soc. Japan Volume 60, Number 4 (2008), 1135-1170.
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.
Primary Subjects: 35L70
Secondary Subjects: 35L20
Keywords: nonlinear wave equation; null condition; exterior domain
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1225894036
Digital Object Identifier: doi:10.2969/jmsj/06041135
Journal of the Mathematical Society of Japan
