Boundary Determination of Conductivities and Riemannian Metrics via Local Dirichlet-to-Neumann Operator
- 1 January 2002
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 34 (3) , 719-735
- https://doi.org/10.1137/s0036141001395042
Abstract
We consider the inverse problem to identify an anisotropic conductivity from the Dirichlet-to-Neumann (DtN) map. We first find an explicit reconstruction of the boundary value of less regular anisotropic (transversally isotropic) conductivities and their derivatives. Based on the reconstruction formula, we prove Hölder stability, up to isometry, of the inverse problem using a local DtN map.Keywords
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