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

Pages: 537 - 556, Volume 6, Issue 3, July 2000

doi:10.3934/dcds.2000.6.537       Abstract        Full Text (276.2K)       Related Articles

Micol Amar - Dipartimento di Metodi e Modelli Matematici, Università "La Sapienza" di Roma, Via A. Scarpa 16, 00161 Roma, Italy (email)

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.

Keywords:  Boundary layers, periodic functions, asymptotic expansion, homogenization.
Mathematics Subject Classification:  Primary: 35B27, 41A60, 49N20.

Received: May 1999;      Revised: April 2000;      Published: April 2000.