INTEGRAL EQUATIONS FOR INVERSE PROBLEMS IN CORROSION DETECTION FROM PARTIAL CAUCHY DATA

@inproceedings{Cakoni2006INTEGRALEF,
  title={INTEGRAL EQUATIONS FOR INVERSE PROBLEMS IN CORROSION DETECTION FROM PARTIAL CAUCHY DATA},
  author={Fioralba Cakoni},
  year={2006}
}
We consider the inverse problem to recover a part Γc of the boundary of a simply connected planar domain D from a pair of Cauchy data of a harmonic function u in D on the remaining part ∂D \ Γc when u satisfies a homogeneous impedance boundary condition on Γc. Our approach extends a method that has been suggested by Kress and Rundell [17] for recovering the interior boundary curve of a doubly connected planar domain from a pair of Cauchy data on the exterior boundary curve and is based on a… CONTINUE READING

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