Global uniqueness in determining electric potentials for a system of strongly coupled Schrödinger equations with magnetic potential terms
From MaRDI portal
Publication:5745458
DOI10.1515/jiip.2011.030zbMath1279.35115OpenAlexW2025457334MaRDI QIDQ5745458
Publication date: 30 January 2014
Published in: jiip (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.2011.030
Optimality conditions for problems involving partial differential equations (49K20) Inverse problems for PDEs (35R30) PDEs in connection with quantum mechanics (35Q40)
Related Items (8)
Linear integro-differential Schrödinger and plate problems without initial conditions ⋮ Conditional stability of coefficients inverse problem for strongly coupled Schrödinger equations ⋮ An inverse problem for the Schrödinger equation with Neumann boundary condition ⋮ Inverse problem for structural acoustic interaction ⋮ Inverse Problem for a Linearized Jordan–Moore–Gibson–Thompson Equation ⋮ Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation ⋮ Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: uniqueness and stability ⋮ The inverse problem of two-state quantum systems with non-adiabatic static linear coupling
Cites Work
- Logarithmic stability in the dynamical inverse problem for the Schrödinger equation by arbitrary boundary observation
- Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map
- Exact boundary controllability on \(L_ 2(\Omega)\times H^{-1}(\Omega)\) of the wave equation with Dirichlet boundary control acting on a portion of the boundary \(\partial \Omega\), and related problems
- Boundary controllability for conservative PDEs
- Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
- Exact Controllability for the Schrödinger Equation
- Boundary control in reconstruction of manifolds and metrics (the BC method)
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
This page was built for publication: Global uniqueness in determining electric potentials for a system of strongly coupled Schrödinger equations with magnetic potential terms
