Let Ω̂ ⊂ ℝ2 be a bounded domain with a smooth boundary and σ̂ a smooth anisotropic conductivity on Ω̂. Starting from the Dirichlet-to-Neumann operator A σ̂ on ∂Ω̂, we give an explicit procedure to find a unique (up to a biholomorphism) domain Ω, an isotropic conductivity σ on Ω and the boundary values of a quasiconformal diffeomorphism F : Ω̂ Ω which transforms σ̂ into σ. © 2010 IOP Publishing Ltd.
On an inverse problem for anisotropic conductivity in the plane
SANTACESARIA, MATTEO
2010-01-01
Abstract
Let Ω̂ ⊂ ℝ2 be a bounded domain with a smooth boundary and σ̂ a smooth anisotropic conductivity on Ω̂. Starting from the Dirichlet-to-Neumann operator A σ̂ on ∂Ω̂, we give an explicit procedure to find a unique (up to a biholomorphism) domain Ω, an isotropic conductivity σ on Ω and the boundary values of a quasiconformal diffeomorphism F : Ω̂ Ω which transforms σ̂ into σ. © 2010 IOP Publishing Ltd.File in questo prodotto:
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