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Publication Date:
November 2009
ISSN:
1569-3945
DOI:
10.1515/JIIP.2009.045

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Editor-in-Chief: Kabanikhin, Sergey I.

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On approximation of inverse problems for abstract elliptic problems

D. Orlovsky1 / S. Piskarev2

1Moscow, Russia. Email: odg@bk.ru

2Moscow, Russia. Email: piskarev@gmail.com

Citation Information: Journal of Inverse and Ill-posed Problems. Volume 17, Issue 8, Pages 765–782, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2009.045, November 2009

Publication History:
Received:
2008-10-15
Published Online:
2009-11-25

Abstract

This paper is devoted to the numerical analysis of inverse problem for abstract elliptic differential equations. The presentation uses the general approximation scheme and is based on C 0-semigroup theory and a functional analysis approach.

Key words.: Abstract differential equations; abstract elliptic problem; analytic C0-semigroups; Banach spaces; semidiscretization; inverse problem; overdetermination; well-posedness; difference schemes; discrete semigroups; general approximation scheme; compact convergence of resolvents

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