Integral Conditions for Convergence of Solutions of Non-Linear Robin's Problem in Strongly Perforated Domain

We consider a boundary-value problem for the Poisson equation in a strongly perforated domain Ωε = Ω\Fε ⊂ Rⁿ (n ≥ 2) with non-linear Robin's condition on the boundary of the perforating set Fε. The domain Ωε depends on the small parameter ε > 0 such that the set Fε becomes more and more loos...

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Published in:Журнал математической физики, анализа, геометрии
Date:2017
Main Authors: Khruslov, E.Ya., Khilkova, L.O., Goncharenko, M.V.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/140576
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Integral Conditions for Convergence of Solutions of Non-Linear Robin's Problem in Strongly Perforated Domain / E.Ya. Khruslov, L.O. Khilkova, M.V. Goncharenko // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 3. — С. 283-313. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine