Well-posedness and Finite Dimensional Approximation for a Modified Camassa-Holm Equation
نویسندگان
چکیده
We establish the local well-posedness in H(S) with any s > 72 for a modified Camassa-Holm equation derived as the EPDiff equation with respect to the H(S) metric, and obtain the global existence of the weak solution in H(S) under some sign assumption on the initial values and prove the convergence of the corresponding finite particle approximation method.
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