Local well-posedness for the super Korteweg-de Vries equation

DOI10.1016/J.NA.2006.12.034zbMath1132.35450OpenAlexW2047949527MaRDI QIDQ2474831

Amauri Barros

Publication date: 6 March 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.12.034

zbMATH Keywords

Cauchy problemwell-posednessKdV equationsmoothing effects

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)

Cites Work

• Small solutions to nonlinear Schrödinger equations
• On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
• The bi-Hamiltonian structure of fully supersymmetric Korteweg-de Vries systems
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Local well-posedness for higher order nonlinear dispersive systems
• Ill-Posedness Issues for the Benjamin--Ono and Related Equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Higher-Order Nonlinear Dispersive Equations
• A bilinear estimate with applications to the KdV equation
• Integrals of nonlinear equations of evolution and solitary waves

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