2 research outputs found
Exponential instability in an inverse problem for the Schrodinger equation
We consider the problem of the determination of the
potential from the Dirichlet to Neumann map of the Schrodinger
operator.We show that this problem is severely ill posed. The
results extend to the electrical impedance tomography.They show
that the logarithmic stability results of Alessandrini are optimal
Hausdorff moments in an inverse problem for the heat equation: numerical experiment
In this paper we consider the inverse boundary problem for the heat equation Deltau(x, t) = rho(x)partial derivative(t)u(x, t) in a bounded domain Omega subset of R-2. We develop and test numerically an algorithm of an approximate reconstruction of the unknown p(x). This algorithm is based on the moments' method for the heat equation developed by Kawashita, Kurylev and Soga