On the homogenization of elliptic operators with almost-periodic coefficients
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Spagnolo S.,Sulla convergenza di solutioni di equazioni paraboliche ed ellittiche. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (1968), 22, 577–597.
De Giorgi E., Spagnolo S.,Sulla convergenza degli integrali dell'energia per operatori ellittici del 2 o ordine. Boll. Un. Mat. Ital. (1973), (4), 8, 391–411.
Spagnolo S.,Convergence in energy for elliptic operators. Proc. 3rd Sympos. Numer. Solut. Partial Differ. equations. College Park (1976), 469–498.
Zhikov V. V., Kozlov S. M., Oleinik O. A., Kha T'en Ngoan,Averaging and G-convergence of differential operators. Russian Mathematical Survey, v. 34, n. 5 (1979), 69–147.
Zhikov V. V., Kozlov S. M., Oleinik O. A.,On G-convergence of parabolic operator. Uspekhi Mat Nauk (1981), v. 36, n. 1, 11–58.
Bensoussan A., Lions J. L., Papanicolaou G.,Asymptotic analysis for periodic structures. North-Holland Publ. Comp., 1978.
Tartar L.,Homogeneisation. Cours Peccot au College de France. Paris 1977.
Sanchez-Palencia E.,Non-homogeneous media and vibration theory. Lect. Notes in Phisics, Springer-Verlag, 127, 1980.
Zhikov V. V., Kozlov S. M., Oleinik O. A.,Theorems on homogenization of parabolic operators. Doklady Akad. Nauk SSSR (1981), 260, n. 3, 521–525.
Kozlov S. M., Oleinik O. A., Zhikov V. V.,Sur l'homogeneisation d'operateurs differentisls paraboliques a coefficients presque-periodiques. C. R. Acad. Sc., Paris, t. 293, ser. 1, p. 245–248 (1981).
Zhikov V. V., Kozlov S. M., Oleinik O. A.,Homogenisation of parabolic operators with almost-periodic coefficients. Mat. Sb. (1982), t. 117, n. 1, 69–85.
Amerio L., Prouse G.,Almost-periodic functions and functional equations. N. Y. Van Nostrand Reinhold Company, 1971.
Levitan B. M., Zhikov V. V.,Almost-periodic functions and differential equations. MGU, Moscow, 1978.
Levitan B. M.,Almost-periodic functions. Gostekhizdat, Moscow, 1949.