Global weak solutions to the weakly dissipative Degasperis-Procesi equation

DOI10.1016/j.na.2011.04.051zbMath1222.35064OpenAlexW2006203686MaRDI QIDQ549932

Yunxi Guo, Shaoyong Lai, Ying Wang

Publication date: 19 July 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.04.051

zbMATH Keywords

well-posednessCamassa-Holm equationDegasperis-Procesi equationglobal weak solutions

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (8)

On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations ⋮ Global weak solutions for the weakly dissipative \(\mu\)-Hunter-Saxton equation ⋮ The Cauchy problem to a shallow water wave equation with a weakly dissipative term ⋮ The Cauchy problem of a weakly dissipative shallow water equation ⋮ Persistence properties of solutions to the dissipative 2-component Degasperis-Procesi system ⋮ Global existence and propagation speed for a Degasperis-Procesi equation with both dissipation and dispersion ⋮ Large time behavior for the support of momentum density of the Holm-Staley \(b\)-family equation with weakly dissipative term ⋮ The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system

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