The local stability of solutions for a nonlinear equation

DOI10.1155/2014/781813zbMath1474.35577OpenAlexW2065446335WikidataQ59041402 ScholiaQ59041402MaRDI QIDQ1724947

Haibo Yan, Ls Yong

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/781813

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Strong solutions to PDEs (35D35)

Cites Work

• The local strong solutions and global weak solutions for a nonlinear equation
• On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
• The well-posedness of solutions for a generalized shallow water wave equation
• A model containing both the Camassa-Holm and Degasperis-Procesi equations
• On the well-posedness of the Degasperis-Procesi equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Global weak solutions and blow-up structure for the Degasperis-Procesi equation
• The global weak solution for a generalized Camassa-Holm equation
• Global existence and blow-up phenomena for the Degasperis-Procesi equation
• Infinite propagation speed for the Degasperis-Procesi equation
• Global existence and blow-up phenomena for the peakon $b$-family of equations
• Stability of peakons for the Degasperis-Procesi equation
• A Note on the Degasperis-Procesi Equation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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