A Global Uniqueness Theorem for an Inverse Boundary Value Problem

1987/01/01 by John Sylvester, Gunther Uhlmann, Günther Uhlmann · 104 citations
Mathematics · Computer Science · Engineering · #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering

paper · doi:10.2307/1971291

Abstract

In this paper, we show that the single smooth coefficient of the elliptic operator LY = v yv can be determined from knowledge of its Dirichlet integrals for arbitrary boundary values on a fixed region 2 C R', n ? 3. From a physical point of view, we show that an isotropic conductivity can be determined by steady state measurements at the boundary.

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