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 |
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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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