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Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem
Annals of Mathematics · 1996 · Vol. 143(1) · pp. 71–71
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
Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Boundary ProblemsMathematicsUniquenessInverseBoundary value problemMathematical analysisUniqueness theorem for Poisson's equationValue (mathematics)Boundary (topology)Applied mathematicsGeometry
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References
Reconstructions From Boundary Measurements
Annals of Mathematics · 1988 · 687 citations
A Global Uniqueness Theorem for an Inverse Boundary Value Problem
Annals of Mathematics · 1987 · 1,483 citations
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