Advances in Differential Equations

Global low regularity solutions of quasi-linear wave equations

Zhen Lei and Yi Zhou

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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

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

First available in Project Euclid: 18 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


Zhou, Yi; Lei, Zhen. Global low regularity solutions of quasi-linear wave equations. Adv. Differential Equations 13 (2008), no. 1-2, 55--104.

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