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arXiv · 2606.18407

Determination of separable perturbations of an unbounded potential in the two-dimensional Schr\"odinger equation

Mourad Choulli·Hiroshi Takase
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Abstract

We establish uniqueness and stability results for a class of perturbations of an unbounded potential in the two-dimensional Schr\"odinger equation, from the corresponding Dirichlet-to-Neumann map. We assume that the difference between the potentials has a separated product structure. Our proof relies on a specific Carleman inequality.

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Mourad Choulli, Hiroshi Takase. 2026-06-16. Determination of separable perturbations of an unbounded potential in the two-dimensional Schr\"odinger equation. https://arxiv.org/abs/2606.18407

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