On a class of initial-boundary value problems in a domain with boundary containing isolated points
H. Marcinkowska (1983)
Annales Polonici Mathematici
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H. Marcinkowska (1983)
Annales Polonici Mathematici
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Alekseenko, Alexander M. (2008)
Abstract and Applied Analysis
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Jenkinson, Oliver (2000)
Experimental Mathematics
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Slovan, Jakub
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K. S. Padmanabhan, R. Parvatham (1976)
Annales Polonici Mathematici
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M. Greguš (1974)
Annales Polonici Mathematici
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Józef Wenety Myjak (1973)
Annales Polonici Mathematici
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Maria Neuss-Radu (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order ε in the energy norm.