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

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

2008-08-04

arxiv.org/abs/0808.0368v2

Mathematics

Analysis of PDEs

73 pages, no figures. Will not be published in current form, pending future reorganisation of the heatwave project

Scientific paper

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.

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