Stability of Geodesic Wave Maps in Dimensions d >= 3

作者：Grigoryan Viktor^*

来源：International Mathematics Research Notices, 2010, (23): 4544-4584.

DOI：10.1093/imrn/rnq056

We show that a wave map with initial data close to that of a geodesic wave map in the sense of H-s, with s > n/2 in spatial dimensions n >= 3 can be continued globally in time, and stays close to the geodesic wave map in the critical Besov norm, and in the range of Sobolev spaces (H) over dot(s)', with n/2 <= s' <= s.

• 出版日期2010