Homogenization of renormalized solutions of elliptic equations

François Murat

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Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods

Alain Brillard (1986-1987)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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A semilinear equation in $L^{1} (ℝ^{N})$

Philippe Benilan, Haim Brezis, Michael G. Crandall (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Periodic solutions to Maxwell equations in nonlinear media

Pavel Krejčí (1986)

Czechoslovak Mathematical Journal

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The output least squares identifiability of the diffusion coefficient from an H $^{1}$ –observation in a 2–D elliptic equation

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.

Displaying similar documents to “Homogenization of renormalized solutions of elliptic equations”

Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods

A semilinear equation in L 1 ( ℝ N )

Periodic solutions to Maxwell equations in nonlinear media

The output least squares identifiability of the diffusion coefficient from an H 1 –observation in a 2–D elliptic equation

A semilinear equation in $L^{1} (ℝ^{N})$

The output least squares identifiability of the diffusion coefficient from an H $^{1}$ –observation in a 2–D elliptic equation