Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions
Analysis of PDEs
2012-06-05 v2
Abstract
In connection with the weak null condition, Alinhac introduced a sufficient condition for global existence of small amplitude solutions to systems of semilinear wave equations in three space dimensions. We introduce a slightly weaker sufficient condition for the small data global existence, and we investigate the asymptotic pointwise behavior of global solutions for systems satisfying this condition. As an application, the asymptotic behavior of global solutions under the Alinhac condition is also derived.
Keywords
Cite
@article{arxiv.1101.3657,
title = {Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions},
author = {Soichiro Katayama},
journal= {arXiv preprint arXiv:1101.3657},
year = {2012}
}
Comments
56 pages, the final version