Non-uniform continuity on initial data for a Camassa-Holm-type equation in Besov space
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DOI: 10.1016/j.jmaa.2020.124621
Abstract: Abstract In this paper, with special choices of a sequence of low frequency and high frequency initial data g n , f n , based on the established existence estimates, by showing that the difference… read more here.
Keywords: holm type; camassa holm; initial data; non uniform ... See more keywords
A new blow-up criterion for the N – abc family of Camassa-Holm type equation with both dissipation and dispersion
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DOI: 10.1515/math-2020-0012
Abstract: Abstract In this paper, we investigate the Cauchy problem for the N – abc family of Camassa-Holm type equation with both dissipation and dispersion. Furthermore, we establish the blow-up result of the positive solutions in… read more here.
Keywords: holm type; abc family; camassa holm; type equation ... See more keywords