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arXiv · 2502.02758

Simultaneous reconstruction of two potentials for a nonconservative Schr\"odinger equation with dynamic boundary conditions

Hugo Carrllo·Alberto Mercado·Roberto Morales
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Abstract

In this article, we consider an inverse problem involving the simultaneous reconstruction of two real valued potentials for a Schr\"odinger equation with mixed boundary conditions: a dynamic boundary condition of Wentzell type and a Dirichler boundary condition. The main result of this paper is a Lipschitz stability estimate for such potentials from a single measurement of the flux. This result is deduced using the Bukhgeim-Klibanov method and a suitable Carleman estimate where the weight function depends on Minkowski's functional.

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Hugo Carrllo, Alberto Mercado, Roberto Morales. 2025-02-04. Simultaneous reconstruction of two potentials for a nonconservative Schr\"odinger equation with dynamic boundary conditions. https://arxiv.org/abs/2502.02758

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