Global Low Regularity Solutions of Quasi-linear Wave Equations

Details Global Low Regularity Solutions of Quasi-linear Wave Equations Global Low Regularity Solutions of Quasi-linear Wave Equations

2007-01-26

arxiv.org/abs/math/0701775v1

Mathematics

Analysis of PDEs

We prove global existence and uniqueness of low regularity solutions for quasi-linear wave equations in radial symmetric case.

Scientific paper

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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