Local well-posedness and persistence property for the generalized Novikov equation

DOI10.3934/dcds.2014.34.803zbMath1280.35131OpenAlexW2041783975MaRDI QIDQ379755

Wei Yan, Yongsheng Li, Yong-Ye Zhao

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.803

zbMATH Keywords

Cauchy problemBesov spacesLittlewood-Paley decompositionpersistence property, Novikov equation

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) Theoretical approximation in context of PDEs (35A35) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items

Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces ⋮ Blow-up for the weakly dissipative generalized Camassa-Holm equation ⋮ On a stochastic Camassa-Holm type equation with higher order nonlinearities ⋮ On the Cauchy problem for a generalized Camassa-Holm equation ⋮ Non-uniform dependence on initial data for the generalized Camassa-Holm-Novikov equation in Besov space ⋮ The Cauchy problem for a family of generalized Camassa–Holm equations ⋮ The global weak solutions to the Cauchy problem of the generalized Novikov equation

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