Stability estimates for the recovery of the nonlinearity from scattering data
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Publication:6123309
DOI10.2140/paa.2024.6.305arXiv2305.06170MaRDI QIDQ6123309
Publication date: 4 March 2024
Published in: Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.06170
Stability in context of PDEs (35B35) 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)
Cites Work
- Unnamed Item
- Dispersive equations and nonlinear waves. Generalized Korteweg-de Vries, nonlinear Schrödinger, wave and Schrödinger maps
- Multidimensional inverse scattering for the nonlinear Klein-Gordon equation with a potential
- Analyticity of the nonlinear scattering operator
- 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
- 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
- Uniqueness, reconstruction and stability for an inverse problem of a semi-linear wave equation
- Uniqueness on identification of cubic convolution nonlinearity
- Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation
- Inverse scattering for the nonlinear Schrödinger equation II. Reconstruction of the potential and the nonlinearity in the multidimensional case
- 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
- Recovery of a spatially-dependent coefficient from the NLS scattering map
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