ON AN INVERSE DIFFUSION PROBLEM

In many applications, such as the heat conduction and hydrology, these is a need to recover the (possibly discontinuous) diffusion coefficie nt a from boundary measurements of solutions of a parabolic equation. The complete inverse problem is ill posed and nonlinear, so numerical solution is quite difficult, and we linearize the problem around const ant a. We study and solve numerically the Linear ill-posed problem by using regularization.