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.
|Number of pages||27|
|Journal||Communications on Pure and Applied Mathematics|
|Publication status||Published - 2004 Mar|
ASJC Scopus subject areas
- Applied Mathematics