Global uniqueness in determining electric potentials for a system of strongly coupled Schrödinger equations with magnetic potential terms

DOI10.1515/jiip.2011.030zbMath1279.35115OpenAlexW2025457334MaRDI QIDQ5745458

Shitao Liu, Roberto Triggiani

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

zbMATH Keywords

inverse problemsSchrödinger equationsCarleman estimates

Mathematics Subject Classification ID

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

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