On homogenization of solutions of the poisson equation in a perforated domain with different types of boundary conditions on different cavities

DOI10.1080/00036819708840559zbMath0903.35005OpenAlexW2020502833WikidataQ58177806 ScholiaQ58177806MaRDI QIDQ4384851

Willi Jäger, Olga A. Oleinik, Tatiana A. Shaposhnikova

Publication date: 13 December 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840559

zbMATH Keywords

error estimatemixed boundary conditionsNeumann problemcorrectors

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Two-scale homogenization in transmission problems of elasticity with interface jumps ⋮ Derivation of a macroscopic model for nutrient uptake by hairy-roots ⋮ Asymptotic Analysis of Solutions to Transmission Problems in Solids with Many Inclusions ⋮ Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain

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