Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method

DOI10.1088/0266-5611/18/2/304zbMath1001.35121OpenAlexW2006425037WikidataQ60231265 ScholiaQ60231265MaRDI QIDQ4531337

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

Publication date: 29 May 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/18/2/304

zbMATH Keywords

boundary controlwave equationSchrödinger equationspectral dataunknown potential

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10)

Related Items (15)

Determining the potential in the Schrödinger equation from the Dirichlet to Neumann map by the boundary control method ⋮ Dynamical identification of a space varying coefficient in a system with persistent memory ⋮ Determining a distributed parameter in a neural cable model via a boundary control method ⋮ Inverse source problem for the 1D Schrödinger equation ⋮ Boundary control method to identification of elastic modulus of string equation from Neumann-Dirichlet map ⋮ On Stability of the Solution of Multidimensional Inverse Problem for the Schrödinger Equation ⋮ Exact Controllability for String with Attached Masses ⋮ Boundary control approach to the spectral estimation problem: the case of multiple poles ⋮ Null-controllability of a fractional order diffusion equation ⋮ Determination of a control parameter for the difference Schrödinger equation ⋮ Controllability for a string with attached masses and Riesz bases for asymmetric spaces ⋮ On the inverse problem of the two-velocity tree-like graph ⋮ Boundary control method and coefficient identification in the presence of boundary dissipation ⋮ Inverse problem for the Schrödinger equation with non-self-adjoint matrix potential ⋮ Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph

This page was built for publication: Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method