July  2000, 6(3): 537-556. doi: 10.3934/dcds.2000.6.537

A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions

1. 

Dipartimento di Metodi e Modelli Matematici, Università "La Sapienza" di Roma, Via A. Scarpa 16, 00161 Roma, Italy

Received  May 1999 Revised  April 2000 Published  April 2000

This paper focus on the properties of boundary layers in periodic homogenization of Dirichlet boundary value problems. We consider here the case of Dirichlet problems in rectangular domains which have an oscillating boundary, emphasizing the influence of boundary layers on interior error estimates.
Citation: Micol Amar. A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions. Discrete & Continuous Dynamical Systems - A, 2000, 6 (3) : 537-556. doi: 10.3934/dcds.2000.6.537
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