Homogenization of boundary value problems in domains with rapidly oscillating nonperiodic boundary

DOI10.1007/BF02754407zbMath0993.35013MaRDI QIDQ5942173

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

Publication date: 16 January 2002

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptoticsharmonic capacityPoisson equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Non-homogeneous media and vibration theory
• The boundary-value problem in domains with very rapidly oscillating boundary
• On the homogenization of the Poisson equation in partially perforated domains with arbitrary density of cavities and mixed type conditions on their boundary
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