Global Low Regularity Solutions of Quasi-linear Wave Equations
Analysis of PDEs
2007-05-23 v1
Abstract
In this paper we prove the global existence and uniqueness of the low regularity solutions to the Cauchy problem of quasi-linear wave equations with radial symmetric initial data in three space dimensions. The results are based on the end-point Strichartz estimate together with the characteristic method.
Cite
@article{arxiv.math/0701775,
title = {Global Low Regularity Solutions of Quasi-linear Wave Equations},
author = {Yi Zhou and Zhen Lei},
journal= {arXiv preprint arXiv:math/0701775},
year = {2007}
}
Comments
We prove global existence and uniqueness of low regularity solutions for quasi-linear wave equations in radial symmetric case. 53 pages, 3 figures