The paper is devoted to the approximation of a control element for an abstract parabolic equation. The presentation is given for general approximation schemes, which includes finite element methods, finite difference schemes, projection methods. We apply an iteration-approximation method for the investigation of inverse problems for parabolic equations.
Editor-in-Chief: Kabanikhin, Sergey I.
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On approximation of inverse problem for abstract parabolic differential equations in Banach spaces
1 Department of Mathematical Analysis, Moscow State University, Vorobjevy Gory, 119899 Moscow, Russia. Email: tkachenko@nkosino.ru
2 Scientific Research Computer Center, Moscow State University, Vorobjevy Gory, 119899 Moscow, Russia. Email: piskarev@gmail.com
3 Department of mathematics, Graduate School of Engineering, Lunghwa University of Science and Technology, Guishan, Taoyuan 333, Taiwan. Email: shaw@math.ncu.edu.tw
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 8, Pages 831–851, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2007.045, January 2008
Publication History:
- Received:
- 2006-02-20
- Published Online:
- 2008-01-24
Keywords: Abstract differential equations; C0-semigroups; Banach spaces; discretization methods; difference schemes; discrete semigroups; inverse problems; Fredholm equations
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