Stability of determining the potential from partial boundary data in a Schrödinger equation in the high frequency limit

2023/07/01 by Mourad Choulli, Choulli, Mourad
Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2307.00273

Abstract

We establish stability inequalities for the problem of determining the potential, appearing in a Schödinger equation, from partial boundary data in the high frequency limit. These stability inequalities hold under the assumption that the potential is known near the boundary of the domain under consideration.

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