Non-uniform dependence on initial data for the CH equation on the line

Details Non-uniform dependence on initial data for the CH equation on the line Non-uniform dependence on initial data for the CH equation on the line

2010-09-23

arxiv.org/abs/1009.4685v1

Diff and Int.Eqns 22 (2009) 201-224

Mathematics

Analysis of PDEs

This is a corrected version of the paper that appeared in Diff. and Int. Eqns. 22 (2009), 201-224. We are indebted to Yanggeng

Scientific paper

We show the lack of uniform continuity of the flow map for the Camassa-Holm
equation on the line, in the Sobolev spaces of index s > 3/2.

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