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Well-posedness and Continuity Properties of a generalized Degasperis-Procesi equation in $B^1_{\infty,1}$.
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In this paper, we obtain the local-in-time existence and uniqueness of
solution to the generalized Degasperis-Procesi equation in
$B^1_{\infty,1}(\mathbb{R})$.
Moreover, we prove that the data-to-solution of this equation is
continuous but not uniformly continuous in
$B^1_{\infty,1}(\mathbb{R})$
Title: Well-posedness and Continuity Properties of a generalized Degasperis-Procesi equation in $B^1_{\infty,1}$.
Description:
In this paper, we obtain the local-in-time existence and uniqueness of
solution to the generalized Degasperis-Procesi equation in
$B^1_{\infty,1}(\mathbb{R})$.
Moreover, we prove that the data-to-solution of this equation is
continuous but not uniformly continuous in
$B^1_{\infty,1}(\mathbb{R})$.
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