Stable determination of conductivity by boundary measurements
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Applicable Analysis
- Vol. 27 (1-3) , 153-172
- https://doi.org/10.1080/00036818808839730
Abstract
We consider the problem of determining the scalar coefficient γ in the elliptic equation div(γ grad u) = 0 in ω when, for every Dirichlet datum u = ∅ on ∂ω , the Neumann datum γ(∂/ ∂ n)u = ∧.γ∅ is known. We prove a continuous dependence resultKeywords
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This publication has 5 references indexed in Scilit:
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- A Global Uniqueness Theorem for an Inverse Boundary Value ProblemAnnals of Mathematics, 1987
- An inverse problem for the Helmholtz equationInverse Problems, 1985
- Determining conductivity by boundary measurements II. Interior resultsCommunications on Pure and Applied Mathematics, 1985
- Determining conductivity by boundary measurementsCommunications on Pure and Applied Mathematics, 1984