Springer Monographs in Mathematics. 2017. P.. 81-110
Basics of Carleman Estimates
In this monograph, we discuss the derivation of Carleman estimates and their application to inverse problems of determining spatially varying coefficients or source terms. The inverse problem is to determine unknown quantities in governing equations from available data of solutions. The unknown quantities are diverse, according to the inverse problems and phenomena studied, but typical unknowns are spatially varying coefficients and factors of source terms. © 2017, Springer Science and Business Media Deutschland GmbH. All rights reserved.
Authors
Bellassoued M. 1 , Yamamoto M. 2, 3
Collection of articles
Publisher
Springer
Language
English
Pages
1-50
State
Published
Year
2017
Organizations
- 1 Department of Mathematics, ENIT—LAMSIN, University of Tunis El Manar, Tunis, Tunisia
- 2 Department of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
- 3 Research Center of Nonlinear Problems of Mathematical Physics, Peoples’ Friendship University of Russia, Moscow, Russian Federation
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Springer Monographs in Mathematics. 2017. P.. 225-239