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- W2783203824 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(d≥2) and 1≤r≤∞, the solution map is not uniformly continuous from B2,rs(Td) into C([0,T];B2,rs(Td)) for r<∞ or from B2,∞s(Td) into L∞([0,T];B2,∞s(Td)) for r=∞." @default.
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- W2783203824 date "2018-05-01" @default.
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- W2783203824 title "Non-uniform dependence for the periodic higher dimensional Camassa–Holm equations" @default.
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- W2783203824 doi "https://doi.org/10.1016/j.jmaa.2018.01.012" @default.
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