| Summary: | Imposing either Dirichlet or Neumann boundary conditions on the boundary of a smooth bounded domain $\Omega $, we study the perturbation incurred by the voltage potential when the conductivity is modified in a set of small measure. We consider $(\gamma _{n})_{n\,\in \,\mathbb{N}}$, a sequence of perturbed conductivity matrices differing from a smooth $\gamma _{0}$ background conductivity matrix on a measurable set well within the domain, and we assume $(\gamma _{n}-\gamma _{0})\gamma _{n}^{-1}(\gamma _{n}-\gamma _{0})\rightarrow 0$ in $L^{1}(\Omega )$. Adapting the limit measure, we show that the general representation formula introduced for bounded contrasts in a previous work from 2003 can be extended to unbounded sequences of matrix valued conductivities.
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