Global Low Regularity Solutions of Quasi-linear Wave Equations

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.

We prove global existence and uniqueness of low regularity solutions for quasi-linear wave equations in radial symmetric case. 53 pages, 3 figures