Abstract
During the last decades various problems in mechanics and physics have stimulated the appearence and intensive development of a new branch of the theory of partial differential equations-homo-geneization and G-convergence of differential operators. The foundamental contribution in this field has been made by E.De Giorgi and his school. In papers [1],[2] the G-convergence was considered and its important properties were studied, in particular theorems on the homogenization of elliptic operators with rapidly oscillating and periodic coefficients and the convergence of energy integrals were proved. Results on the G-convergence of higher order differential equations with rapidly oscillating and random coefficients were obtained in [3].
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References
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Dedicated to Ennio De Giorgi on his sixtieth birthday
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Oleinik, O.A., Shamaev, A.S., Yosifian, G.A. (1989). The Neumann Problem for Second Order Elliptic Equations with Rapidly Oscillating Periodic Coefficients in a Perforated Domain. In: Colombini, F., Marino, A., Modica, L., Spagnolo, S. (eds) Partial Differential Equations and the Calculus of Variations. Progress in Nonlinear Differential Equations and Their Applications, vol 1. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4615-9831-2_16
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DOI: https://doi.org/10.1007/978-1-4615-9831-2_16
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