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Well-posedness of determining the source term of an elliptic equation

Published online by Cambridge University Press:  17 April 2009

Wenhuan Yu
Wenhuan Yu
Affiliation:
Department of MathematicsTianjin University Tianjin300072 People'sRepublic of China
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Abstract

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In this paper the inverse problem for determining the source term of a linear, uniformly elliptic equation is investigated. The uniqueness of the inverse problem is proved under mild assumptions by use of the orthogonality method and an elimination method. The existence of the inverse problem is proved by means of the theory of solvable operators between Banach spaces, moreover, the continuous dependence of the solution to the inverse problem on measurement is also obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 3 , December 1994 , pp. 383 - 398
Copyright
Copyright © Australian Mathematical Society 1994

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