Global Low Regularity Solutions of Quasi-linear Wave Equations

2007/01/26 by Zhou, Yi, Lei, Zhen
#35L05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0701775

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.

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