Rough solutions for the wave maps equation

Daniel Tataru

Type: Article

Publication Date: 2005-04-01

Citations: 125

DOI: https://doi.org/10.1353/ajm.2005.0014

Abstract

We consider the wave maps equation with values into a Riemannian manifold which is isometrically embedded in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]. Our main result asserts that the Cauchy problem is globally well-posed for initial data which is small in the critical Sobolev spaces. This extends and completes recent work of Tao and other authors.

Locations

American Journal of Mathematics - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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