Non-uniform dependence for the periodic higher dimensional Camassa-Holm equations

DOI10.1016/j.jmaa.2018.01.012zbMath1482.35033OpenAlexW2783203824MaRDI QIDQ1706343

Meiling Yang, Yongsheng Li, Yong-Ye Zhao

Publication date: 22 March 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.01.012

zbMATH Keywords

Besov spacestransport equationhigher dimensional Camassa-Holm equationsnon-uniform dependence on initial data

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (6)

On the continuity of the solution map of the Euler-Poincaré equations in Besov spaces ⋮ Global weak solutions to a nonlinear equation with fourth order nonlinearities ⋮ On the stochastic Euler-Poincaré equations driven by pseudo-differential/multiplicative noise ⋮ Non-uniform continuous dependence on initial data of solutions to the Euler-Poincaré system ⋮ Non-uniform dependence for higher dimensional Camassa-Holm equations in Besov spaces ⋮ A note on the solution map for the periodic multi-dimensional Camassa-Holm-type system

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