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

Micol Amar

doi:10.3934/dcds.2000.6.537

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2000, Volume 6, Issue 3: 537-556. Doi: 10.3934/dcds.2000.6.537

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

Micol Amar^1,

1.
Dipartimento di Metodi e Modelli Matematici, Università "La Sapienza" di Roma, Via A. Scarpa 16, 00161 Roma

Received: May 1999

Revised: April 2000

Published: July 2000

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Abstract

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.

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Mathematics Subject Classification: Primary: 35B27, 41A60, 49N20.

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