Well-posedness for a modified two-component Camassa-Holm system in critical spaces

DOI10.3934/dcds.2013.33.1699zbMath1270.35204OpenAlexW2312274755MaRDI QIDQ1948768

Zhaoyang Yin, Kai Yan

Publication date: 24 April 2013

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

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1699

zbMATH Keywords

Besov spaceslocal well-posednessLittlewood-Paley decompositioncritical indexmodified Kato-Picard iterations

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Weak well-posedness for a modified two-component Camassa-Holm system ⋮ Well-posedness and persistence property for a four-component Novikov system with peakon solutions ⋮ Local well-posedness in the critical Besov space and persistence properties for a three-component Camassa-Holm system with N-peakon solutions ⋮ Uniqueness of global conservative weak solutions for the modified two-component Camassa-Holm system ⋮ Lipschitz metric for the modified two-component Camassa–Holm system ⋮ On the initial value problem for higher dimensional Camassa-Holm equations ⋮ Qualitative analysis for a new integrable two-component Camassa-Holm system with peakon and weak kink solutions ⋮ Global existence and local well-posedness for a three-component Camassa-Holm system with N-peakon solutions ⋮ Local well-posedness and blow-up criteria for a two-component Novikov system in the critical Besov space ⋮ Global attractor for the viscous modified two-component Camassa-Holm equation

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