Global regularity of wave maps from $R^{3+1}$ to surfaces

We consider Wave Maps with smooth compactly supported initial data of small (H) over dot (3/2)-norm from R3+1 to certain 2-dimensional Riemannian manifolds and show that they stay smooth globally in time. Our methods are based on the introduction of a global Coulomb Gauge as in [17], followed by a dynamic separation as in [8]. We then rely on an adaptation of T. Tao's methods used in his recent breakthrough result [24].


Published in:
Communications In Mathematical Physics, 238, 333-366
Year:
2003
Publisher:
Springer Verlag
ISSN:
0010-3616
Keywords:
Laboratories:




 Record created 2010-11-19, last modified 2018-09-13

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