Hölder continuity for a modified Camassa–Holm system

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This paper is concerned with the Hölder continuity for a modified Camassa–Holm system. We show that the date to solution for the modified Camassa–Holm system is Hölder continuous from bounded set of Sobolev spaces with exponent s>3/2 measured in a weaker Sobolev norm with index r

论文关键词:Hölder continuity,Camassa–Holm system,Energy estimates,Initial value problem

论文评审过程:Available online 7 March 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.02.035