Non-uniform dependence on initial data for the periodic modified Camassa-Holm equation

DOI10.1007/s00030-012-0177-yzbMath1268.35011OpenAlexW2128025559MaRDI QIDQ354333

Zheng-Rong Liu, Yang-Geng Fu

Publication date: 19 July 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-012-0177-y

zbMATH Keywords

Sobolev spacesmodified Camassa-Holm equationnon-uniform dependenceperiodic Cauchy problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (8)

Non‐uniform dependence on initial data of a modified periodic two‐component Camassa‐Holm system ⋮ Well-posedness and peakons for a higher-order \(\mu\)-Camassa-Holm equation ⋮ Non-uniform continuity of the semiflow map associated to the porous medium equation ⋮ Nonuniform dependence on initial data of a periodic Camassa-Holm system ⋮ Well-posedness of the modified Camassa-Holm equation in Besov spaces ⋮ On initial data problem for a periodic two-componentμ-Hunter-Saxton system ⋮ Non-uniform continuity of the flow map for an evolution equation modeling shallow water waves of moderate amplitude ⋮ On initial data problem for a periodic 2-component \(\mu\)-b system

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