WKB analysis of nonelliptic nonlinear Schrödinger equations
DOI10.1142/S0219199719500457zbMath1447.35292arXiv1811.07597OpenAlexW2958518426MaRDI QIDQ5117125
Publication date: 20 August 2020
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.07597
semi-classical limithyperbolic nonlinear Schrödinger equationanalytic regularityDavey-Stewartson system
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness of 2D non-focusing Schrödinger equations via rigorous modulation approximation
- On Fourier time-splitting methods for nonlinear Schrödinger equations in the semi-classical limit. II. Analytic regularity
- On Landau damping
- A refinement of the Strichartz inequality on the saddle and applications
- WKB analysis for nonlinear Schrödinger equations with potential
- Instabilities for supercritical Schrödinger equations in analytic manifolds
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- The onset of instability in first-order systems
- A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey-Stewartson equation and to the inverse boundary value problem of Calderón
- Some \(L^\infty\) solutions of the hyperbolic nonlinear Schrödinger equation and their stability
- Radial standing and self-similar waves for the hyperbolic cubic NLS in 2D
- Fourier Analysis and Nonlinear Partial Differential Equations
- On the initial value problem for the Davey-Stewartson systems
- Semiclassical limit of the nonlinear Schrödinger equation in small time
- WKB analysis of generalized derivative nonlinear Schrödinger equations without hyperbolicity
- Long range scattering and modified wave operators for some Hartree type equations. III: Gevrey spaces and low dimensions
This page was built for publication: WKB analysis of nonelliptic nonlinear Schrödinger equations