On the well-posedness of the Schrödinger-Korteweg-de Vries system
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Publication:712178
DOI10.1016/J.JDE.2010.04.016zbMath1202.35299arXiv0911.3197OpenAlexW2076751089MaRDI QIDQ712178
Publication date: 28 October 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.3197
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (5)
Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ Recurrent solutions of the Schrödinger-KdV system with boundary forces ⋮ Dispersive blow-up and persistence properties for the Schrödinger–Korteweg–de Vries system ⋮ The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line ⋮ On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System
Cites Work
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- Rough solutions of a Schrödinger-Benjamin-Ono system.
- Local well-posedness for dispersion generalized Benjamin-Ono equations in Sobolev spaces
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Interaction equations for short and long dispersive waves
- Well-posedness of the Cauchy problem for the coupled system of the Schrödinger-KdV equations
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- On the Cauchy problem for the Zakharov system
- On the ill-posedness of some canonical dispersive equations.
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Global well-posedness of the Benjamin–Ono equation in low-regularity spaces
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Endpoint Strichartz estimates
- Local and global results for wave maps I
- Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
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