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Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation

Lipschitz Stability of an Inverse Boundary Value Problem for a Schrödinger-Type Equation

In this paper we study the inverse boundary value problem of determining the potential in the Schrödinger equation from the knowledge of the Dirichlet-to-Neumann map, which is commonly accepted as an ill-posed problem in the sense that, under general settings, the optimal stability estimate is of logarithmic type. In this …