Detecting Anisotropic Inclusions Through EIT

Jan Cristina
Springer, 2017
Article

Résumé

We study the evolution equation where is the Dirichlet-Neumann operator of a decreasing family of Riemannian manifolds with boundary . We derive a lower bound for the solution of such an equation, and apply it to a quantitative density estimate for the restriction of harmonic functions on to the boundaries of . Consequently we are able to derive a lower bound for the difference of the Dirichlet-Neumann maps in terms of the difference of a background metrics g and an inclusion metric on a manifold .

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https://infoscience.epfl.ch/record/232159?ln=fr

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