Local well-posedness for the super Korteweg-de Vries equation
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Publication:2474831
DOI10.1016/J.NA.2006.12.034zbMath1132.35450OpenAlexW2047949527MaRDI QIDQ2474831
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
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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