Mathematics > Analysis of PDEs
arXiv:2606.18407 (math)
[Submitted on 16 Jun 2026]
Abstract:We prove a uniqueness result for determining an unbounded potential in the two-dimensional Schrödinger equation using the corresponding Dirichlet-to-Neumann map. Our proof relies on a specific Carleman inequality. We also provide a quantitative version of the uniqueness result.
Submission history
From: Mourad Choulli [view email]
[v1]
Tue, 16 Jun 2026 19:00:16 UTC (13 KB)
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