Scattering of wave maps from R2+1 to general targets

作者：Nahas J^*

来源：Calculus of Variations and Partial Differential Equations, 2013, 46(1-2): 427-437.

DOI：10.1007/s00526-011-0489-5

We show that smooth, radially symmetric wave maps U from R2+1 to a compact target manifold N, where partial derivative U-r and partial derivative U-t have compact support for any fixed time, scatter. The result will follow from the work of Christodoulou and Tahvildar-Zadeh, and Struwe, upon proving that lambda' is an element of (0, 1), energy does not concentrate in the set
K-5/8T, 7/8T(lambda)' = {(x, t) is an element of R2+1 vertical bar vertical bar x vertical bar <= lambda't, t is an element of [(5/8)T, (7/8)T]}.

• 出版日期2013-1