Recovery of pointwise sources or small inclusions in 2D domains and rational approximation

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Abstract
We consider the inverse problems,of locating pointwise,or small size conductivity defaults in a plane domain, from overdetermined boundary measurements,of solutions to the Laplace equation. We express these issues in terms of best rational or meromorphic approximation problems on the boundary, with poles constrained to belong to the domain.,This approach,furnishes efficient and original resolution schemes. 1. Introduction: models We approach here the classical inverse problem of determining, from boundary Cauchy data

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