Abstract
It is shown that the initial value problem for an integrable Novikov system is well-posed in Sobolev spaces Hs, s > 3/2, in the sense of Hadamard. Furthermore, it is proved that the dependence on initial data is sharp, i.e., the data-to-solution map is continuous but not uniformly continuous. Also, peakon traveling wave solutions are used to prove that the solution map is not uniformly continuous in Hs for s < 3/2.
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