Smoothness of the flow map for low-regularity solutions of the Camassa-Holm equations

DOI10.3934/dcds.2013.33.2791zbMath1278.35013arXiv1203.2898OpenAlexW2141414483MaRDI QIDQ379459

Franck Sueur, Olivier Glass

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2898

zbMATH Keywords

periodic boundary conditionsperiodic Cauchy problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51)

Related Items (4)

On the classical solutions for the high order Camassa-Holm type equations ⋮ Solitary wave solutions to a generalization of the mKdV equation ⋮ A note on the convergence of the solution of the high order Camassa-Holm equation to the entropy ones of a scalar conservation law ⋮ Local-in-space criteria for blowup in shallow water and dispersive rod equations

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