The well-posedness of local solutions for a generalized Novikov equation

DOI10.1007/s13348-013-0097-0zbMath1311.35062OpenAlexW2032127010MaRDI QIDQ486342

Shaoyong Lai, Hanlei Hu, Feng Zhang

Publication date: 15 January 2015

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-013-0097-0

zbMATH Keywords

local strong solutionlocal weak solutionpseudo-parabolic regularization technique

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (1)

Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation

Cites Work

• Well-posedness and persistence properties for the Novikov 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
• Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
• Wave breaking for nonlinear nonlocal shallow water equations
• Wave breaking for a periodic shallow water equation.
• Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
• On the Blow-Up Scenario for the Generalized Camassa–Holm Equation
• Integrable peakon equations with cubic nonlinearity
• Generalizations of the Camassa–Holm equation
• Commutator estimates and the euler and navier-stokes equations
• The initial-value problem for the Korteweg-de Vries equation
• An integrable shallow water equation with peaked solitons
• Hölder continuity of the solution map for the Novikov equation
• The Cauchy problem for the Novikov equation
• On the Cauchy problem for the Camassa-Holm equation

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