Low regularity conservation laws for integrable PDE
DOI10.1007/s00039-018-0444-0zbMath1428.35452arXiv1708.05362OpenAlexW2963080232WikidataQ130106644 ScholiaQ130106644MaRDI QIDQ2324617
Xiaoyi Zhang, Rowan Killip, Monica Visan
Publication date: 11 September 2019
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.05362
Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (43)
Cites Work
- Unnamed Item
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- Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps
- A note on ill posedness for the KdV equation.
- Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.
- Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)
- The Korteweg-de Vries equation at \(H^{-1}\) regularity
- Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)
- A remark on norm inflation for nonlinear Schrödinger equations
- Multilinear estimates for periodic KdV equations, and applications
- Energy and local energy bounds for the 1-d cubic NLS equation in \(H^{-\frac{1}{4}}\)
- Birkhoff coordinates for KdV on phase spaces of distributions
- A priori bounds for KdV equation below \(H^{- \frac{3}{4}}\)
- On the Korteweg - de Vries equation: Existence and uniqueness
- Sur un problème non linéaire
- Periodic solutions of the KdV equation
- The initial-value problem for the Korteweg-de Vries equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Method for Solving the Korteweg-deVries Equation
- A Remark on Norm Inflation with General Initial Data for the Cubic Nonlinear Schrödinger Equations in Negative Sobolev Spaces
- Norm-inflation with Infinite Loss of Regularity for Periodic NLS Equations in Negative Sobolev Spaces
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
- A bilinear estimate with applications to the KdV equation
- Integrals of nonlinear equations of evolution and solitary waves
- Exact envelope-soliton solutions of a nonlinear wave equation
- On the Scattering of a Particle by a Static Potential
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