Enviar artigo por via de e-mail Error Estimates of Homogenization in the Neumann Boundary Problem for an Elliptic Equation with Multiscale Coefficients
- Autores: Pastukhova S.E.1, Tikhomirov R.N.2
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Afiliações:
- Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University)
- A. G. and N. G. Stoletov Vladimir State University
- Edição: Volume 216, Nº 2 (2016)
- Páginas: 325-344
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237802
- DOI: https://doi.org/10.1007/s10958-016-2903-1
- ID: 237802
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Resumo
We study the Neumann problem in a bounded domain Ω for a scalar elliptic equation with coefficients oscillating with respect to two groups of variables with periods of different smallness order. We prove the H1- and L2-estimates of homogenization. The estimates have the operator form and can be expressed in terms of the resolvent of the original problem and its approximations in the operator (L2(Ω)→H1(Ω))- and (L2(Ω)→L2(Ω))- norms.
Sobre autores
S. Pastukhova
Moscow State Institute of Radio Engineering, Electronics and Automation (Technical University)
Autor responsável pela correspondência
Email: pas-se@yandex.ru
Rússia, 78, pr. Vernadskogo, Moscow, 119454
R. Tikhomirov
A. G. and N. G. Stoletov Vladimir State University
Email: pas-se@yandex.ru
Rússia, 87, ul. Gor’kogo, Vladimir, 600000
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