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2008.71: Recovering Riemannian metrics in monotone families from boundary data

2008.71: Romina Gaburro and William R.B. Lionheart (2008) Recovering Riemannian metrics in monotone families from boundary data.

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Abstract

We discuss the inverse problem of determining the anisotropic conductivity of a body described by a compact, orientable, Riemannian manifold M with boundary bdy M, when measurements of electric voltages and currents are taken on all of bdy M. Specifically we consider a one parameter family of conductivity tensors, extending results obtained in [AG] where the simpler Euclidean case is considered.

Our problem is equivalent to the geometric one of determining a Riemannian metric in monotone one parameter family of metrics from its Dirichlet to Neumann map on bdy M.

Item Type:MIMS Preprint
Uncontrolled Keywords:inverse boundary value problem, ansitropic condictivity, Riemannian metric
Subjects:MSC 2000 > 35 Partial differential equations
MSC 2000 > 53 Differential geometry
MIMS number:2008.71
Deposited By:Prof WRB Lionheart
Deposited On:08 July 2008

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