On the Cauchy problem for a modified Camassa-Holm equation

DOI10.1007/s00605-020-01426-3zbMath1451.35169OpenAlexW3033997851MaRDI QIDQ2204729

Zhijun Qiao, Zhaoyang Yin, Zhaonan Luo

Publication date: 16 October 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-020-01426-3

zbMATH Keywords

blow uplocal well-posednessill-posednessa modified Camassa-Holm equationBseov spaces

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Maximal functions, Littlewood-Paley theory (42B25) Ill-posed problems for PDEs (35R25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Modified Camassa–Holm Equation ⋮ Gevrey regularity and analyticity for the modified Camassa-Holm equation ⋮ An integrable semidiscretization of the modified Camassa–Holm equation with linear dispersion term ⋮ Qualitative analysis for a new generalized 2-component Camassa-Holm system

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