Sharp local well-posedness results for the nonlinear wave equation

Hart F. Smith; Daniel Tataru

doi:https://doi.org/10.4007/annals.2005.162.291

Pages 291-366 from Volume 162 (2005), Issue 1 by Hart F. Smith, Daniel Tataru

Abstract

This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension.

Milestones

Received: 20 April 2001
Accepted: 17 July 2003
Published online: 1 March 2009

Authors

Hart F. Smith

Department of Mathematics, University of Washington, Seattle, WA 98195, United States

Daniel Tataru

Department of Mathematics, University of California, Berkeley, CA 94720, United States