On the Cauchy problem for a generalized Camassa-Holm equation

DOI10.3934/dcds.2015.35.871zbMath1304.35604OpenAlexW2325329035MaRDI QIDQ5891951

Defu Chen, Wei Yan, Yongsheng Li

Publication date: 3 December 2014

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

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.871

zbMATH Keywords

Cauchy problemBesov spaceslocal well-posednessill-posednessgeneralized Camassa-Holm equationcritical regularity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (6)

Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces ⋮ On the Cauchy problem for a class of shallow water wave equations with \((k+1)\)-order nonlinearities ⋮ On a stochastic Camassa-Holm type equation with higher order nonlinearities ⋮ Well-posedness of the modified Camassa-Holm equation in Besov spaces ⋮ Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space ⋮ The Cauchy problem for a family of generalized Camassa–Holm equations

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