Anisotropic inverse problems in two dimensions

Abstract

Let g be a Riemannian metric on a bounded domain in two dimensions with a Lipschitz boundary. We show that one can determine the equivalent class of g and β in the W 1,p topology, p > 2, from knowledge of the associated Dirichletto-Neumann (DN) map g,β to the elliptic equation divg(β∇gu) = 0. The DN map encodes all the voltage and current measurements at… (More)

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