Stability in the energy space of the sum of \(N\) peakons for the Degasperis-Procesi equation

DOI10.1016/j.jde.2015.03.014zbMath1331.35043arXiv1601.07674OpenAlexW2081820296MaRDI QIDQ2347016

André Kabakouala

Publication date: 26 May 2015

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

Full work available at URL: https://arxiv.org/abs/1601.07674

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08)

Related Items (7)

On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile ⋮ Blow-up criteria for the generalized Degasperis–Procesi equation ⋮ A remark on the stability of peakons for the Degasperis-Procesi equation ⋮ Orbital stability of two-component peakons ⋮ A rigidity result for the Holm-Staley \(b\)-family of equations with application to the asymptotic stability of the Degasperis-Procesi peakon ⋮ Asymptotic stability of the Degasperis-Procesi antipeakon-peakon profile ⋮ A view of the peakon world through the lens of approximation theory

Cites Work

• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• Stability of multi antipeakon-peakons profile
• Stability and asymptotic stability for subcritical gKdV equations
• Stability of multipeakons
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Stability of peakons for the Degasperis-Procesi equation

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