## Large time decay and scattering for Wave Maps

Let u : R3+1 -> H-2 be a Wave Map with smooth compactly supported initial data satisfying the smallness condition parallel to u[0]parallel to ((H) over dot3/2 x (H) over dot1/2) < epsilon for a sufficiently small epsilon > 0. In particular, the Wave Map exists globally in time and is smooth. Then denoting u(0, x) = u(infinity) epsilon H for vertical bar x vertical bar large enough, we have

Published in:
Dynamics Of Partial Differential Equations, 5, 1-37
Year:
2008
Publisher:
International Press
ISSN:
1548-159X
Keywords:
Laboratories: