We investigate the continuity properties of the solution operator to the wave map system from ℝ × ℝn to a general nonflat target of arbitrary dimension, and we prove by an explicit class of counterexamples that this map is not uniformly continuous in the critical norms on any neighborhood of 0.
|ジャーナル||Communications on Pure and Applied Mathematics|
|出版物ステータス||Published - 2004 3|
ASJC Scopus subject areas
- Applied Mathematics