Non-uniform dependence on initial data for the generalized Degasperis–Procesi equation on the line

DOI10.1142/S0129167X16500269zbMath1336.35119MaRDI QIDQ2797910

Jianhe Shen, Zanping Yu, Yang-Geng Fu

Publication date: 1 April 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesapproximate solutionshigh frequency partlow frequency part

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

Cites Work

• Unnamed Item
• Erratum: Non-uniform dependence on initial data for the CH equation on the line [Differ. Integral Equ. 22, No. 3-4, 201--224 (2009; Zbl 05944812).]
• Well-posedness and blow-up phenomena for the generalized Degasperis-Procesi equation
• On the Cauchy problem for an integrable equation with peakon solutions
• Geodesic flow on the diffeomorphism group of the circle
• Global weak solutions for a new periodic integrable equation with peakon solutions
• Stability of peakons for the Degasperis-Procesi equation
• An integrable shallow water equation with peaked solitons

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