The regularity of local solutions for a generalized Camassa-Holm type equation

DOI10.1007/s10114-009-8104-9zbMath1184.35094OpenAlexW2083872055MaRDI QIDQ2266850

Jian Zhang, Shaoyong Lai

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-8104-9

zbMATH Keywords

dissipative termexistence of local solutionspseudoparabolic regularization method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Initial value problems for nonlinear higher-order PDEs (35G25) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Cites Work

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• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Time periodic solution of the viscous Camassa-Holm equation
• On the weak solutions to a shallow water equation
• On the Blow-Up Scenario for the Generalized Camassa–Holm Equation
• Commutator estimates and the euler and navier-stokes equations
• The initial-value problem for the Korteweg-de Vries equation
• ON THE UNIQUENESS AND LARGE TIME BEHAVIOR OF THE WEAK SOLUTIONS TO A SHALLOW WATER EQUATION

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