Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method

DOI10.1515/156939405775201718zbMath1095.35061OpenAlexW1991713386MaRDI QIDQ5290351

Sergeĭ Anatol'evich Avdonin, Vladimir A. Protopopescu, Suzanne M. Lenhart

Publication date: 28 April 2006

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939405775201718

zbMATH Keywords

uniquenessSchrödinger equationbilinear formsspectral inverse problemspectral controllability

Mathematics Subject Classification ID

Controllability (93B05) Inverse problems for PDEs (35R30) PDEs in connection with quantum mechanics (35Q40)

Related Items (11)

An inverse problem for the wave equation ⋮ Recovery of transversal metric tensor in the Schrödinger equation from the Dirichlet-to-Neumann map ⋮ An inverse problem for the magnetic Schrödinger equation in infinite cylindrical domains ⋮ Determining a distributed parameter in a neural cable model via a boundary control method ⋮ A Time-Dependent Direct Sampling Method for Recovering Moving Potentials in a Heat Equation ⋮ Inverse source problem for the 1D Schrödinger equation ⋮ On Stability of the Solution of Multidimensional Inverse Problem for the Schrödinger Equation ⋮ An inverse problem for the heat equation ⋮ Stability estimate for an inverse problem for the magnetic Schrödinger equation from the Dirichlet-to-Neumann map ⋮ Inverse problem for fractional diffusion equation ⋮ Inverse problem for the Schrödinger equation with non-self-adjoint matrix potential

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