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Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces
Published 21 Mar 2020 in math.AP and math.FA | (2003.09623v1)
Abstract: In this paper, we investigate the dependence on initial data of solutions to higher dimensional Camassa-Holm equations. We show that the data-to-solution map is not uniformly continuous dependence in Besov spaces $Bs_{p,r}(\mathbb{R}d),s>\max{1+\frac d2,\frac32}$.
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