Xing Wu
Published 2020-11-11Version 1
In this paper, we prove that the solution map of Fokas_Olver_Rosenau_Qiao equation (FORQ) is not uniformly continuous on the initial data in Besov spaces. Our result extends the previous non_uniform continuity in Sobolev spaces (Nonlinear Anal., 2014) to Besov spaces and is consistent with the present work (J. Math. Fluid Mech., 2020) on Novikov equation up to some coefficients when dropping the extra term $(\partial_xu)^3$ in FORQ.
Comments: This paper has been submitted on August 19, 2020
Ill-posedness for the Camassa-Holm and related equations in Besov spaces
Well-posedness and Continuity Properties of the Fornberg-Whitham Equation in Besov Spaces
On the well-posedness and non-uniform continuous dependence for the Novikov equation in the Triebel-Lizorkin spaces
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