Geodesic
Homogenization Estimates of Nondivergence Elliptic Operators of Second Order
Matematičeskie zametki, Tome 108 (2020) no. 2, pp. 260-284

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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.
Keywords: elliptic operators, homogenization. 
@article{MZM_2020_108_2_a9,
     author = {M. M. Sirazhudinov},
     title = {Homogenization {Estimates} of {Nondivergence} {Elliptic} {Operators} of {Second} {Order}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {260--284},
     publisher = {mathdoc},
     volume = {108},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_108_2_a9/}
}
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M. M. Sirazhudinov. Homogenization Estimates of Nondivergence Elliptic Operators of Second Order. Matematičeskie zametki, Tome 108 (2020) no. 2, pp. 260-284. http://geodesic.mathdoc.fr/item/MZM_2020_108_2_a9/