Advances in Differential Equations

Global low regularity solutions of quasi-linear wave equations

Zhen Lei and Yi Zhou

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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.

Article information

Source
Adv. Differential Equations Volume 13, Number 1-2 (2008), 55-104.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867360

Mathematical Reviews number (MathSciNet)
MR2482537

Zentralblatt MATH identifier
1160.35054

Subjects
Primary: 35L70: Nonlinear second-order hyperbolic equations
Secondary: 35B65: Smoothness and regularity of solutions 35L15: Initial value problems for second-order hyperbolic equations

Citation

Zhou, Yi; Lei, Zhen. Global low regularity solutions of quasi-linear wave equations. Adv. Differential Equations 13 (2008), no. 1-2, 55--104. https://projecteuclid.org/euclid.ade/1355867360.


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