On well-posedness and wave operator for the gKdV equation

DOI10.1016/j.bulsci.2012.04.002zbMath1305.35130arXiv1204.5688OpenAlexW2003133351MaRDI QIDQ390824

Ademir Pastor Ferreira, Luiz Gustavo Farah

Publication date: 9 January 2014

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5688

zbMATH Keywords

well-posednessgKdV equation

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)

Related Items (5)

The Cauchy problem for the generalized Ostrovsky equation with negative dispersion ⋮ Nonlinear profile decomposition and the concentration phenomenon for supercritical generalized KDV equations ⋮ The generalized Korteweg-de Vries equation with time oscillating nonlinearity in scale critical Sobolev space ⋮ Supercritical Zakharov-Kuznetsov equation posed on bounded rectangles ⋮ Long time behavior of solutions to the mKdV

Cites Work

• Large data wave operator for the generalized Korteweg-de Vries equations.
• The supercritical generalized KdV equation: global well-posedness in the energy space and below
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• On the Ill-Posedness of the IVP for the Generalized Korteweg-De Vries and Nonlinear Schrödinger Equations
• Large data asymptotic behaviour for the generalized Boussinesq equation
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