An identification problem for an elliptic equation in two variables (Q1113392)

We consider the elliptic equation div(a(x)grad u(x))\(=0\), \(x\in \Omega\), in which the coefficient a has to be determined when one solution u is known. Here \(\Omega\) is a bounded smooth domain in \({\mathbb{R}}^ 2\). This is a nonlinear ill-posed problem of identification. The results which are of main interest are uniqueness, stability and algorithms.