Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem

1996/01/01 by Adrian I. Nachman, Adrian Nachman · 45 citations
Mathematics · Computer Science · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems

paper · doi:10.2307/2118653

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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