Electron. J. Diff. Eqns., Vol. 2006(2006), No. 14, pp. 1-16.

Boundary layers for transmission problems with singularities

Abderrahman Maghnouji, Serge Nicaise

Abstract:
We study two-dimensional transmission problems for the Laplace operator for two diffusion coefficients. We describe the boundary layers of this problem and show that the layers appear only in the part where the coefficient is large. The relationship with the singularities of the limit problem is also described.

Submitted September 26, 2005. Published January 31, 2006.
Math Subject Classifications: 35J25, 35B30.
Key Words: Transmission problems; boundary layers; singularities.

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Abderrahman Maghnouji
Universite de Valenciennes et du Hainaut Cambresis
MACS, ISTV, F-59313 - Valenciennes Cedex 9, France
email: Abderrahman.Maghnouji@univ-valenciennes.fr
Serge Nicaise
Universite de Valenciennes et du Hainaut Cambresis
MACS, ISTV, F-59313 - Valenciennes Cedex 9, France
email: Serge.Nicaise@univ-valenciennes.fr

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