Homogenization Estimates of Nondivergence Elliptic Operators of Second Order

Магомед Магомедалиевич Сиражудинов · Mathematical Notes · 2020

Abstract Questions related to the homogenization of the Dirichlet problem for nondivergence elliptic equations of second order with rapidly oscillating $$\varepsilon$$ -periodic coefficients are studied. Error estimates of homogenization in the Sobolev spaces of order $$\sqrt\varepsilon$$ are obtained. Asymptotic homogenization methods are applied.

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