On the initial boundary value problems for the Degasperis-Procesi equation

DOI10.1016/j.physleta.2007.03.073zbMath1209.35114OpenAlexW2009131369MaRDI QIDQ715876

Zhaoyang Yin, Joachim Escher

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.03.073

zbMATH Keywords

weak solutionsinitial boundary value problemsDegasperis-Procesi equationblow-up and global existence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (13)

Well-posedness and blow-up phenomena for an integrable three-component Camassa-Holm system ⋮ Local well-posedness and persistence property for the generalized Novikov equation ⋮ Blow-Up Phenomena and Decay for the Periodic Degasperis-Procesi Equation with Weak Dissipation ⋮ Blow-up criteria for the generalized Degasperis–Procesi equation ⋮ Optimal distributed control of the Fornberg-Whitham equation ⋮ On the Cauchy problem for a two-component Degasperis-Procesi system ⋮ New blow-up criterion for the Degasperis-Procesi equation with weak dissipation ⋮ Loop solutions, breaking kink (or anti-kink) wave solutions, solitary wave solutions and periodic wave solutions for the two-component Degasperis-Procesi equation ⋮ On the global boundary stabilization of the Camassa-Holm equation ⋮ Optimal control of a class of nonlocal dispersive equations ⋮ Initial boundary value problems for nonlinear dispersive wave equations ⋮ Initial-boundary value problems for conservation laws with source terms and the Degasperis-Procesi equation ⋮ A view of the peakon world through the lens of approximation theory

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