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arxiv: math/0701775 · v1 · submitted 2007-01-26 · 🧮 math.AP

Global Low Regularity Solutions of Quasi-linear Wave Equations

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keywords equationsglobalquasi-linearregularitysolutionswavecauchycharacteristic
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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.

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