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Publication Date:
April 2011
ISSN:
1569-3945
DOI:
10.1515/jiip.2011.011

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Journal of Inverse and III-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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On some classes of inverse problems for parabolic equations

1

1Ugra State University, Sobolev Institute of Mathematics, Chekhov st. 16, 628012, Hanty-Mansiisk, Russia.

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 8, Pages 917–934, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2011.011, April 2011

Publication History:
Received:
2010-03-21
Published Online:
2011-04-02

Abstract

We study solvability of inverse problems of finding the right-hand side together with a solution itself for vector-valued parabolic equations. The usual boundary conditions are supplemented with the overdetermination conditions which are the values of a solution on some system of surfaces.

Keywords.: Parabolic equation; inverse problem; control problem; heat and mass transfer

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