Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899980 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
In this paper, we investigate the dependence on initial data of solutions to the higher dimensional Camassa-Holm equations with periodic boundary condition in Besov spaces. We show that when s>1+d2(dâ¥2) and 1â¤râ¤â, the solution map is not uniformly continuous from B2,rs(Td) into C([0,T];B2,rs(Td)) for r<â or from B2,âs(Td) into Lâ([0,T];B2,âs(Td)) for r=â.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yongye Zhao, Meiling Yang, Yongsheng Li,