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Licensed Unlicensed Requires Authentication Published by De Gruyter 2005

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

  • S. Avdonin , S. Lenhart and V. Protopopescu

We consider the problem of identifying the potential in the one-dimensional Schrödinger equation with input Dirichlet data, from measured Neumann data. Knowledge of the Dirichlet to Neumann map together with spectral controllability results for the Schrödinger equation obtained using properties of exponential Riesz bases allow recovery of the spectral data. Once the the spectral data is recovered, we use the Boundary Control method to solve the identification problem.

Published Online: --
Published in Print: 2005-07-01

Copyright 2005, Walter de Gruyter

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