Global Regularity of Wave Maps Ii. Small Energy in Two Dimensions

Abstract

We show that wave maps from Minkowski space R to a sphere Sm−1 are globally smooth if the initial data is smooth and has small norm in the critical Sobolev space Ḣn/2, in all dimensions n ≥ 2. This generalizes the results in the prequel [37] of this paper, which addressed the high-dimensional case n ≥ 5. In particular, in two dimensions we have global… (More)

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@inproceedings{Tao2000GlobalRO, title={Global Regularity of Wave Maps Ii. Small Energy in Two Dimensions}, author={Terence Tao}, year={2000} }