Recovery of a spatially-dependent coefficient from the NLS scattering map
From MaRDI portal
Publication:6081661
DOI10.1080/03605302.2023.2241546zbMath1528.35166arXiv2209.07680OpenAlexW4385633613MaRDI QIDQ6081661
Publication date: 26 October 2023
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.07680
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) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (1)
Cites Work
- Unnamed Item
- Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps
- Propagation properties of quantum scattering states
- Analyticity of the scattering operator for semilinear dispersive equations
- The inverse scattering problem for Schrödinger and Klein-Gordon equations with a nonlocal nonlinearity
- Smoothing properties and retarded estimates for some dispersive evolution equations
- The X-ray transform
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Time-dependent method for non-linear Schrödinger equations in inverse scattering problems
- \(L^p\)-\(L^{\acute p}\) estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
- Inverse scattering for critical semilinear wave equations
- Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime
- Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation
- Inverse scattering for the non-linear Schrödinger equation: Reconstruction of the potential and the non-linearity
- Inverse scattering for the nonlinear Schrödinger equation II. Reconstruction of the potential and the nonlinearity in the multidimensional case
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Inverse Scattering for the Nonlinear Schrödinger Equation with the Yukawa Potential
- Endpoint Strichartz estimates
- Inverse scattering for the nonlinear schrodinger equation
- The geometrical approach to multidimensional inverse scattering
- On a nonlinear scattering operator
- The scattering map determines the nonlinearity
- Inverse scattering of the nonlinear Schrödinger equation with cubic convolution nonlinearity
This page was built for publication: Recovery of a spatially-dependent coefficient from the NLS scattering map
