Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616161 | Journal of Mathematical Analysis and Applications | 2014 | 16 Pages |
Abstract
We prove that the solution map of the two-component Camassa-Holm system is not uniformly continuous as a map from a bounded subset of the Sobolev space Hs(T)ÃHr(T) to C([0,1],Hs(T)ÃHr(T)) when s⩾1 and r⩾0. We also demonstrate the nonuniform continuous property in the continuous function space C1(T)ÃC1(T).
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lixin Tian, Zhongnan Xia, Pingzheng Zhang,