Improved local well-posedness for quasilinear wave equations in dimension three

S. Klainerman; I. Rodnianski

doi:10.1215/S0012-7094-03-11711-1

Improved local well-posedness for quasilinear wave equations in dimension three

S. Klainerman, I. Rodnianski

Mathematics

Research output: Contribution to journal › Article › peer-review

57 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-124
Number of pages	124
Journal	Duke Mathematical Journal
Volume	117
Issue number	1
DOIs	https://doi.org/10.1215/S0012-7094-03-11711-1
State	Published - Mar 15 2003

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/S0012-7094-03-11711-1

Cite this

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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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Improved local well-posedness for quasilinear wave equations in dimension three

Abstract

All Science Journal Classification (ASJC) codes

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