Global analyticity for a generalized Camassa-Holm equation and decay of the radius of spatial analyticity

DOI10.1016/j.jde.2017.02.052zbMath1447.35288OpenAlexW2595859732MaRDI QIDQ525988

Rafael F. Barostichi, A. Alexandrou Himonas, Gerson Petronilho

Publication date: 8 May 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.02.052

zbMATH Keywords

Cauchy problemCamassa-Holm equationNovikov equationanalytic spacesglobal in time solutionslower bound on the radius of analyticity

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items

Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces, Analyticity in partial differential equations, Some properties of solutions to the Camassa-Holm-type equation with higher-order nonlinearities, The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach, Radius of analyticity for the Camassa-Holm equation on the line, Local and global analyticity for \(\mu\)-Camassa-Holm equations, Local well-posedness and global analyticity for solutions of a generalized 0-equation, Analytic regularity of global solutions for the \(b\)-equation, Local and global analyticity for theμ-Novikov equation, Local and Global Analyticity for a Generalized Camassa-Holm System, Global solutions for the generalized Camassa-Holm equation, Blow-up phenomena and peakons for the gFQXL/gCH-mCH equation, Global existence and long time behavior of the generalized Camassa–Holm equation with k + 1 degree nonlinearities, On propagation of regularities and evolution of radius of analyticity in the solution of the fifth-order KdV-BBM model

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