Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem

1996/01/01 by Adrian I. Nachman, Adrian Nachman · 883 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Boundary (topology) #Boundary value problem #Differential Equations and Boundary Problems #Geometry #Inverse #Mathematical analysis #Mathematics #Numerical methods in inverse problems #Statistics #Uniqueness #Uniqueness theorem for Poisson's equation #Value (mathematics)

paper · doi:10.2307/2118653

published in Annals of Mathematics 143(1), 71 (Princeton University)

openalex publication_date 1996/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

We show that the coefficient -y(x) of the elliptic equation Vie (QyVu) = 0 in a two-dimensional domain is uniquely determined by the corresponding Dirichlet-to-Neumann map on the boundary, and give a reconstruction pro

Citations

• A Global Uniqueness Theorem for an Inverse Boundary Value Problem

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