Sharp local well-posedness results for the nonlinear wave equation

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.

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