Article ID Journal Published Year Pages File Type
6416996 Journal of Differential Equations 2016 26 Pages PDF
Abstract

Considered herein is the initial value problem for the modified μ-Camassa-Holm equation. It is shown that the solution map of this problem is not uniformly continuous in Sobolev spaces Hs(S) for s>5/2 on the circle. Based on the well-posedness result and the lifespan for this problem, the method of approximate solutions is utilized.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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