Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential
type: Item
instance of: scholarly article
title: Wave and scattering operators for the nonlinear matrix Schrödinger equation on the half-line with a potential
zbMATH Open document ID: 1503.35205
author: M. Ballesteros
author: Diego Iniesta
author: Clemente Peña
author: I. P. Naumkin
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2022-12-08T00:00:00Z
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35A01
zbMATH DE Number: 7629248
zbMATH Keywords: nonlinear matrix Schrödinger equation
zbMATH Keywords: general boundary conditions
zbMATH Keywords: scattering-supercritical nonlinearities
zbMATH Keywords: wave operators
zbMATH Keywords: inverse wave operators
zbMATH Keywords: scattering operator
zbMATH Keywords: generic potentials
zbMATH Keywords: exceptional potentials
MaRDI profile type: Publication
full work available at URL: j.na.2022.113183
OpenAlex ID: W4309694717
cites work: Q5318420
cites work: Q3969238
cites work: Small-energy asymptotics of the scattering matrix for the matrix Schrödinger equation on the line
cites work: Direct and inverse scattering for the matrix Schrödinger equation
cites work: Scattering for nonlinear Schrödinger equation under partial harmonic confinement
cites work: Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
cites work: On the number of negative eigenvalues of the Laplacian on a metric graph
cites work: Symmetries of quantum graphs and the inverse scattering problem
cites work: Q4434430
cites work: Local existence, global existence, and scattering for the nonlinear Schrödinger equation
cites work: Modified scattering for the critical nonlinear Schrödinger equation
cites work: Rapidly decaying solutions of the nonlinear Schrödinger equation
cites work: The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential
cites work: Decay and Scattering of Small Solutions of Pure Power NLS in ℝ with p > 3 and with a Potential
cites work: On selection of standing wave at small energy in the 1D cubic Schrödinger equation with a trapping potential
cites work: A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II
cites work: Long-Time Asymptotics for Solutions of the NLS Equation with a Delta Potential and Even Initial Data
cites work: The nonlinear Schrödinger equation with a potential
cites work: Q4290895
cites work: Q4180647
cites work: On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
cites work: Can one hear the shape of a graph?
cites work: On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension
cites work: Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
cites work: Large Time Behavior for the Cubic Nonlinear Schrödinger Equation
cites work: Q4816699
cites work: Q3808563
cites work: Q3475736
cites work: Kirchhoff's rule for quantum wires
cites work: Geometric properties of quantum graphs and vertex scattering matrices
cites work: Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential
cites work: Remarks on scattering for nonlinear Schrödinger equations
cites work: Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential
cites work: Nonlinear Schrödinger equations with exceptional potentials
cites work: \(L^p-L^{p'}\) estimates for matrix Schrödinger equations
cites work: Long range scattering for nonlinear Schrödinger equations in one space dimension
cites work: Non-linear semi-groups
cites work: Dispersion for non-linear relativistic equations. II
cites work: Q4051035
cites work: Nonlinear scattering theory at low energy
cites work: \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
cites work: The \(L^{p}\)-\(L^{p'}\) estimate for the Schrödinger equation on the half-line
cites work: The \(L^p\) boundedness of the wave operators for matrix Schrödinger equations
DOI: 10.1016/J.NA.2022.113183
description: scientific article; zbMATH DE number 7629248