Homogenization of renormalized solutions of elliptic equations
François Murat (1991)
Annales de l'I.H.P. Analyse non linéaire
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François Murat (1991)
Annales de l'I.H.P. Analyse non linéaire
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Norman G. Meyers (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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B. Baishanski, R. Coifman (1978)
Studia Mathematica
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M. A. Dow, R. Výborný (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Guy Chavent, Karl Kunisch (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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Output least squares stability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis shows the influence of the flow direction on the parameter to be estimated. A scale analysis for multi-scale resolution of the unknown parameter is provided.
Pavel Krejčí (1986)
Czechoslovak Mathematical Journal
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