Homogenization in a thin domain with an oscillatory boundary

DOI10.1016/j.matpur.2011.02.003zbMath1223.35039arXiv1101.3503OpenAlexW3105272470MaRDI QIDQ549981

José M. Arrieta, Marcone Corrêa Pereira

Publication date: 19 July 2011

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.3503

zbMATH Keywords

extension operatorauxiliary problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Semilinear elliptic equations (35J61)

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Cites Work

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• Semilinear parabolic problems in thin domains with a highly oscillatory boundary
• Homogenization of oscillating boundaries
• Non-homogeneous media and vibration theory
• Homogenization of reticulated structures
• Reaction-diffusion equation on thin domains
• Boundary homogenization and Neumann boundary value problem
• Elliptic problems in thin domains with highly oscillating boundaries
• Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary

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