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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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
|Deposited By:||Prof WRB Lionheart|
|Deposited On:||08 July 2008|