Identification of a constant coefficient in an elliptic equation
Abstract:The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in [image omitted]. The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function [image omitted] and a positive real number k. The uniqueness is obtained by a new approach.
Document Type: Research Article
Affiliations: Department of Applied Mathematics and Automatic Control Systems, Siberian Federal University, Krasnoyarsk, Russia
Publication date: October 1, 2008