Work

Determination of separable perturbations of an unbounded potential in the two-dimensional Schrödinger equation

Year: 2026

Type: preprint

Abstract: We establish uniqueness and stability results for a class of perturbations of an unbounded potential in the two-dimensional Schrödinger 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2606.18407

Authors: Choulli, Mourad, Takase, Hiroshi

Institutions: Université de Lorraine, Okayama University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: G2895446663, Exploration of a new conditional stability theory and its application to inverse problems

OpenAlex ID: W7165116388

Cites: 2

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Related to: 10