The periodic Cauchy problem for the 2-component Camassa-Holm system.

zbMath1299.35271MaRDI QIDQ2444524

Ryan C. Thompson

Publication date: 9 April 2014

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell-posednessHölder continuousCamassa-Holm system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (12)

Well-posedness of the Fornberg-Whitham equation on the circle ⋮ Nonuniform continuity of the solution map to the two component Camassa-Holm system ⋮ Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy ⋮ Autonomous Ovsyannikov theorem and applications to nonlocal evolution equations and systems ⋮ Nonuniform dependence of the R‐b‐family system in Besov spaces ⋮ Nonuniform dependence on initial data of a periodic Camassa-Holm system ⋮ Hölder continuity for a modified Camassa-Holm system ⋮ Non-uniform dependence of the data-to-solution map for the Hunter-Saxton equation in Besov spaces ⋮ Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces ⋮ Continuity for a generalized cross-coupled Camassa-Holm system with waltzing peakons and higher-order nonlinearities ⋮ Nonuniform dependence for the two-component Camassa-Holm-type system with higher-order nonlinearity in Besov spaces ⋮ Nonuniform dependence of solution to the high-order two-component \(b\)-family system

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