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This article is cited in 4 scientific papers (total in 4 papers)
Improved resolvent approximations in homogenization of second order operators with periodic coefficients
S. E. Pastukhova MIREA — Russian Technological University, Moscow
Abstract:
For elliptic divergent self-adjoint second-order
operators with ε-periodic measurable coefficients acting on the whole space Rd,
resolvent approximations in the operator norm ∥⋅∥H1→H1
with remainder of order ε2 as ε→0 are found by the method of two-scale expansions with the use of smoothing.
Keywords:
periodic differential operators, homogenization, correctors, resolvent approximations, operator error estimates.
Received: 27.04.2022 Revised: 24.07.2022 Accepted: 04.08.2022
Citation:
S. E. Pastukhova, “Improved resolvent approximations in homogenization of second order operators with periodic coefficients”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 93–104; Funct. Anal. Appl., 56:4 (2022), 310–319
Linking options:
https://www.mathnet.ru/eng/faa4010https://doi.org/10.4213/faa4010 https://www.mathnet.ru/eng/faa/v56/i4/p93
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