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15 March 2003 Improved local well-posedness for quasilinear wave equations in dimension three
S. Klainerman, I. Rodnianski
Duke Math. J. 117(1): 1-124 (15 March 2003). DOI: 10.1215/S0012-7094-03-11711-1

Abstract

We improve recent results of H. Bahouri and J.-Y. Chemin and of D. Tataru concerning local well-posedness theory for quasilinear wave equations. Our approach is based on the proof of the Strichartz estimates using a combination of geometric methods and harmonic analysis. The geometric component relies on and takes advantage of the nonlinear structure of the equation.

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S. Klainerman. I. Rodnianski. "Improved local well-posedness for quasilinear wave equations in dimension three." Duke Math. J. 117 (1) 1 - 124, 15 March 2003. https://doi.org/10.1215/S0012-7094-03-11711-1

Information

Published: 15 March 2003
First available in Project Euclid: 26 May 2004

zbMATH: 1031.35091
MathSciNet: MR1962783
Digital Object Identifier: 10.1215/S0012-7094-03-11711-1

Subjects:
Primary: 35L70
Secondary: 35B30, 35L15, 58J45

Rights: Copyright © 2003 Duke University Press

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Vol.117 • No. 1 • 15 March 2003
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