On the Well-posedness Problem for the Generalized Degasperis-Procesi Equation
2006
In this paper, we study the local well-posedness of the Cauchy problem for the generalized Degasperis-Proces equation. By applying some Sobolev's inequalities and related knowledge of PDE and using Kato's theory, we prove that there is a unique local solution of this problem which continuously depends on the initial value.
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