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• W2019437634 abstract "In this paper, we study the dependence on initial data of solutions to Camassa–Holm equation with periodic boundary condition in Besov spaces. We show that when and , the solution map is not uniformly continuous from into for or from into for . Moreover, we prove that if a weaker -topology is used, then the solution map becomes Hölder continuous in . It seems that the non-uniform dependence on initial data in periodic Besov spaces has not appeared in the previous literature." @default.
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• W2019437634 date "2013-10-18" @default.
• W2019437634 modified "2023-09-26" @default.
• W2019437634 title "A note on the solution map for the periodic Camassa–Holm equation" @default.
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• W2019437634 doi "https://doi.org/10.1080/00036811.2013.847923" @default.
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