Work

The Calderón problem for the fractional Schrödinger equation at a single point

Year: 2026

Type: preprint

Abstract: We revisit the Calderón problem for the fractional Schrödinger equation and prove that the potential is determined by Dirichlet-to-Neumann maps at a single exterior point, with exterior inputs varying in a disjoint open set. This holds for continuous potentials for all $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.36253

Authors: Harrach, Bastian, Lin, Yi-Hsuan

Institutions: University of Duisburg-Essen, National Yang Ming Chiao Tung University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Alexander von Humboldt-Stiftung, Universität Duisburg-Essen, National Science and Technology Council

OpenAlex ID: W7224120280

Cites: 7

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Related to: 10