- Bahvalov , N.S. and Bourgeat , A. Precise estimates of the difference between the homogenized solution, with its first corrector and the original one. . Applicable Analysis , 70 ( 1-2 ) 45 – 60 .
- Jikov , V.V. , Kozlkov , S.M. and Oleinik , O.A. 1994 . Homogenization of Differential Operators and Integral Functions. , Berlin : Springer Verlag .
- Bensoussan , A. , Lions , J.L. and Papanicolaou , G. Asymptotic Analysis for Periodic Structures. , Amsterdam : North-Holland .
- Bakhvalov , N.S. and Panasenko , G. “ Homogenization ” . In Averaging processes in Periodic Media. , Dordrecht. : Kluwer .
- Oleinik , O.A. , Shamaev , A.S. and Yosifian , G.A. 1992 . “ Mathematical problems in elasticity and homogenization. ” . In Studies in Mathematics and its Application , Vol. 26 , Amsterdam : Elsevier .
- Meyers . 1992 . On Lp estimates for the gradient of solutions of second order elliptic divergence equations . Ann. Scuola Norm. Sup. Pisa , 17 ( 3 ) : 189 – 206 .
- Nečas , J. 1992 . Sur la régularité des solutions variationnelles des équations elliptiques non linéaires d'ordre 2k en deux dimensions. . Ann. Scuola Norm. Sup. Pisa , 21 ( 3 ) : 427 – 457 .
- Il'in , V.A. 1961 . On the decidability of Dirichlet and Neumann problems for a linear elliptic operator with discontinuous coefficients. . Soviet Mat. Dokl. , 137 ( 1 ) : 28 – 30 .
- Deny , J. and Lions , J.L. 1961 . 1.Les espaces du type de Beppo Levi . Ann. Inst. Fourier. , 5 ( 1 ) : 305 – 370 .
- Kolmogorov A. Fomin S. Eléments de la théorie des fonctions et de l'algébre fonctionnelle. 1977 Editions Mir, Moscou
- Bakhvalov , N.S. and saint Jean Paulin , J. 1995 . Homogenization for thermoconductivity in a porous medium with periods of different orders in the different directions . Asymptotic analysis , 11 ( 3 ) : 253 – 276 .
- Ladyzhenskaya O.A. Ural'ceva N. N. Linear and Quasilinear Equations of elliptic type Moscow
Convergence towards the homogenized solution in case of lipschitzian boundary
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