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.
No takes yet. Share an insight, caveat, or question.
Daniel Tataru (2005) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: