Non-uniform dependence for the Novikov equation in Besov spaces

Abstract

In this paper, we investigate the dependence on initial data of solutions to the Novikov equation. We show that the solution map is not uniformly continuous dependence on the initial data in Besov spaces $B_{p,r}^s(\mathbb{R}),s>\max \{1+\frac{1}{p},\frac{3}{2}\}$.

References in corpus (3)

• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• On asymptotically equivalent shallow water wave equations
• Inverse Scattering Transform for the Degasperis-Procesi Equation