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arXiv:0808.0368 [math.AP]AbstractReferencesReviewsResources

Global regularity of wave maps V. Large data local wellposedness and perturbation theory in the energy class

Terence Tao

Published 2008-08-04, updated 2009-08-06Version 2

Using the harmonic map heat flow and the function spaces of Tataru and the author, we establish a large data local well-posedness result in the energy class for wave maps from two-dimensional Minkowski space $\R^{1+2}$ to hyperbolic spaces $\H^m$. This is one of the five claims required in an earlier paper in this series to prove global regularity for such wave maps.

Comments: 73 pages, no figures. Will not be published in current form, pending future reorganisation of the heatwave project
Categories: math.AP
Subjects: 35L70
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