The anisotropic Calderón problem for high fixed frequency

2021/04/08 by Günther Uhlmann, Yiran Wang, Uhlmann, Gunther +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2104.03477

openalex publication_date 2021/04/08 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We consider Schrödinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with non-positive sectional curvatures and smooth strictly convex boundaries. We prove that the Dirichlet-to-Neumann map uniquely determines the potential.

Citations

• Determining anisotropic real‐analytic conductivities by boundary measurements
• A Global Uniqueness Theorem for an Inverse Boundary Value Problem

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