Global Solvability of the Derivative Nonlinear Schrodinger Equation
From MaRDI portal
Publication:3353505
DOI10.2307/2001438zbMath0729.35130OpenAlexW4235044803MaRDI QIDQ3353505
Publication date: 1989
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2001438
Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse problems involving ordinary differential equations (34A55)
Related Items
The derivative nonlinear Schrödinger equation on the half line, The inviscid limit of the derivative complex Ginzburg-Landau equation, Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation, Global well-posedness for the derivative nonlinear Schrödinger equation, Stability of solitary waves for a generalized derivative nonlinear Schrödinger equation, Solvability of the derivative nonlinear Schrödinger equation and the massive Thirring model, Dissipative hierarchies and resonance solitons for KP-II and MKP-II, On the Dissipative Evolution Equations Associated with the Zakharov-Shabat System with a Quadratic Spectral Parameter, Exact Solutions of DNLS and Derivative Reaction-Diffuson Systems, The initial value problem for the derivative nonlinear Schrödinger equation in the energy space, Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities, The semiclassical modified nonlinear Schrödinger equation I: Modulation theory and spectral analysis, Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method, Shock waves, chiral solitons and semiclassical limit of one-dimensional anyons, On the derivative nonlinear Schrödinger equation, Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS, Relativistic DNLS and Kaup-Newell hierarchy, Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\), On the semiclassical limit of the general modified NLS equation, Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation, Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line, The derivative nonlinear Schrödinger equation: Global well-posedness and soliton resolution, The behaviour of solutions of NLS equation of derivative type in the semiclassical limit