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Integral equations for inverse problems in corrosion detection from partial Cauchy data

Integral equations for inverse problems in corrosion detection from partial Cauchy data

We consider the inverse problem to recover a part $\Gamma_c$ 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 $\partial D\setminus \Gamma_c$ when $u$ satisfies a homogeneous impedance boundary condition on $\Gamma_c$. …