Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential
From MaRDI portal
Publication:5246647
DOI10.1080/03605302.2014.930753zbMath1314.35172arXiv1402.5185OpenAlexW2019873055MaRDI QIDQ5246647
Publication date: 21 April 2015
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.5185
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (4)
Scattering for NLS with a delta potential ⋮ Failure of scattering to standing waves for a Schrödinger equation with long-range nonlinearity on star graph ⋮ Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential ⋮ Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition
Cites Work
- Domain and range of the modified wave operator for Schrödinger equations with a critical nonlinearity
- Asymptotic properties of solutions to dispersive equation of Schrödinger type
- Nonlinear Schrödinger equation with a point defect
- Existence of solutions for Schrödinger evolution equations
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Decay and scattering of solutions of a nonlinear Schrödinger equation
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- Strong NLS soliton-defect interactions
- Fast soliton scattering by delta impurities
- Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
- Slow solution interaction with delta imperiums
- Soliton splitting by external delta potentials
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- Fast Soliton Scattering by Attractive Delta Impurities
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Inverse scattering on the line
- Endpoint Strichartz estimates
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with p > 3 and with a Potential
This page was built for publication: Final State Problem for the Cubic Nonlinear Schrödinger Equation with Repulsive Delta Potential
