The local strong and weak solutions for a generalized Novikov equation

DOI10.1155/2012/158126zbMath1243.35044OpenAlexW2074527103WikidataQ58694968 ScholiaQ58694968MaRDI QIDQ417092

Yue Zhong, Meng Wu

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1155/2012/158126

zbMATH Keywords

local well-posednessKato theorem

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On the study of global solutions for a nonlinear equation

Cites Work

• Unnamed Item
• Well-posedness and persistence properties for the Novikov equation
• Blow-up of solutions to a nonlinear dispersive rod equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation
• Blow-up of solutions to the DGH equation
• Global existence and blow-up phenomena for the weakly dissipative Camassa-Holm equation
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• Integrable peakon equations with cubic nonlinearity
• Wave Breaking and Persistence Properties for the Dispersive Rod Equation
• Generalizations of the Camassa–Holm equation
• Commutator estimates and the euler and navier-stokes equations
• Particle trajectories in solitary water waves

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