Identification of a constant coefficient in an elliptic equation

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 . The identification of k here is based on an integral...

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Bibliographic Details
Published in:	Applicable analysis Vol. 87; no. 10-11; pp. 1121 - 1128
Main Author:	Lyubanova, A.Sh
Format:	Journal Article
Language:	English
Published:	Taylor & Francis Group 01.10.2008
Subjects:	boundary value problems for second-order elliptic equations filtration inverse problems for PDE local existence and uniqueness theorems
ISSN:	0003-6811, 1563-504X
Online Access:	Get full text
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Summary:	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 . 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 and a positive real number k. The uniqueness is obtained by a new approach.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0003-6811 1563-504X
DOI:	10.1080/00036810802189654