Homogenization of the Poisson Equation in a Thick Periodic Junction

A convergence theorem and asymptotic estimates as $\epsilon \to 0$ are proved for a solution to a mixed boundary-value problem for the Poisson equation in a junction $\Omega_{\epsilon}$, of a domain $\Omega_0$ and a large number $N^2$ of $\epsilon$-periodically situated thin cylinders with thickness...

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Veröffentlicht in:	Zeitschrift für Analysis und ihre Anwendungen 1999-01, Vol.18 (4), p.953-975
1. Verfasser:	Mel'nyk, T.A
Format:	Artikel
Sprache:	eng
Schlagworte:	Partial differential equations
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description	A convergence theorem and asymptotic estimates as $\epsilon \to 0$ are proved for a solution to a mixed boundary-value problem for the Poisson equation in a junction $\Omega_{\epsilon}$, of a domain $\Omega_0$ and a large number $N^2$ of $\epsilon$-periodically situated thin cylinders with thickness of order $\epsilon = O(\frac{1}{N})$. For this junction, we construct an extension operator and study its properties.
doi_str_mv	10.4171/ZAA/923
format	Article
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source	Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; EMIS (European Mathematical Information Service) - All Publications; European Mathematical Society Publishing House
subjects	Partial differential equations
title	Homogenization of the Poisson Equation in a Thick Periodic Junction
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