Open Access
May 2007 On the local solvability for a quasilinear cubic wave equation
J. E. AZZOUZ, S. IBRAHIM
Hokkaido Math. J. 36(2): 383-416 (May 2007). DOI: 10.14492/hokmj/1277472810

Abstract

This article is concerned with local solvability of the Cauchy problem for a quasilinear cubic wave equation in dimension $d=3$. Here, we improve the index of regularity of the initial data compared to the one given by classical energy methods.

Citation

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J. E. AZZOUZ. S. IBRAHIM. "On the local solvability for a quasilinear cubic wave equation." Hokkaido Math. J. 36 (2) 383 - 416, May 2007. https://doi.org/10.14492/hokmj/1277472810

Information

Published: May 2007
First available in Project Euclid: 25 June 2010

zbMATH: 1142.35048
MathSciNet: MR2347432
Digital Object Identifier: 10.14492/hokmj/1277472810

Subjects:
Primary: 20J05
Secondary: 20C30

Keywords: Quasilinear wave equations , Strichartz estimates, energy method

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

Vol.36 • No. 2 • May 2007
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