Parameter estimation in an elliptic problem

Abstract

A new variational approach to solve the problem of estimating the (possibly discontinuous) coefficient functions $p$, $q$ and $f$ in elliptic equations of the form $-\nabla \cdot (p(x)\nabla u)+\lambda q(x)u=f$, $x\in \Omega \subset {\mathbb{R}}^n$, from a knowledge of the solutions $u_{\lambda }$.

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