Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities
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Publication:2210881
DOI10.2140/apde.2020.13.1539zbMath1451.35186arXiv1804.01506OpenAlexW3100726503MaRDI QIDQ2210881
Publication date: 9 November 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01506
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
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Cites Work
- Global well-posedness on the derivative nonlinear Schrödinger equation
- On the derivative nonlinear Schrödinger equation
- Inverse scattering transform for systems with rational spectral dependence
- Long time behavior for the focusing nonlinear Schrödinger equation with real spectral singularities
- The derivative NLS equation: global existence with solitons
- Soliton resolution for the derivative nonlinear Schrödinger equation
- A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
- Riemann–Hilbert Problems, Their Numerical Solution, and the Computation of Nonlinear Special Functions
- Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering
- Direct and inverse scattering transforms with arbitrary spectral singularities
- Global Solvability of the Derivative Nonlinear Schrodinger Equation
- Scattering and inverse scattering for first order systems
- An exact solution for a derivative nonlinear Schrödinger equation
- L2-Sobolev space bijectivity of the scattering and inverse scattering transforms
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- L 2-Sobolev space bijectivity of the inverse scattering of a 3 × 3 AKNS system
- Global well-posedness for the derivative non-linear Schrödinger equation
- The Riemann–Hilbert Problem and Inverse Scattering
- A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative
- A Robust Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation