Stability of a coefficient inverse problem for the discrete Schrödinger equation and a convergence result
DOI10.1016/J.JMAA.2022.126665zbMath1500.65050OpenAlexW4294549762MaRDI QIDQ2084859
Publication date: 13 October 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126665
Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality
- Uniform controllability properties for space/time-discretized parabolic equations
- Discrete Carleman estimates for elliptic operators and uniform controllability of semi-discretized parabolic equations
- Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
- An inverse problem for the matrix Schrödinger equation
- Simultaneous determination of the magnetic field and the electric potential in the Schrödinger equation by a finite number of boundary observations
- Carleman estimates for coefficient inverse problems and numerical applications.
- An inverse problem for the Schrödinger equation with variable coefficients and lower order terms
- Stability of an inverse problem for the discrete wave equation and convergence results
- Carleman estimate for the Schrödinger equation and application to magnetic inverse problems
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Global Carleman Estimates for Waves and Applications
- Discrete Carleman Estimates for Elliptic Operators in Arbitrary Dimension and Applications
- Survey of the stability of linear finite difference equations
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Convergence of an Inverse Problem for a 1-D Discrete Wave Equation
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
- An inverse problem for Schrödinger equations with discontinuous main coefficient
- Inverse problems for partial differential equations
This page was built for publication: Stability of a coefficient inverse problem for the discrete Schrödinger equation and a convergence result