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A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation

Chavent, Guy; Kunisch, Karl (1993), A geometric theory forL 2-stability of the inverse problem in a one-dimensional elliptic equation from anH 1-observation, Applied Mathematics and Optimization, 27, 3, p. 231-260. http://dx.doi.org/10.1007/BF01314817

Type
Article accepté pour publication ou publié
Date
1993
Nom de la revue
Applied Mathematics and Optimization
Volume
27
Numéro
3
Éditeur
Springer
Pages
231-260
Identifiant publication
Métadonnées
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Auteur(s)
Chavent, Guy
Kunisch, Karl
Résumé (EN)
This study provides a stability theory for the nonlinear least-squares formulation of estimating the diffusion coefficient in a two-point boundary-value problem from an error-corrupted observation of the state variable. It is based on analysing the projection of the observation on the nonconvex attainable set.
Mots-clés
Parameter estimation; Nonlinear least squares; Stability analysis; Elliptic boundary-value problems