Identification of a constant coefficient in an elliptic equation

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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.

Keywords: boundary value problems for second-order elliptic equations; filtration; inverse problems for PDE; local existence and uniqueness theorems

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/00036810802189654

Affiliations: Department of Applied Mathematics and Automatic Control Systems, Siberian Federal University, Krasnoyarsk, Russia

Publication date: October 1, 2008

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