Faker Ben Belgacem, Padmanabhan Seshaiyer, Manil Suri (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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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.
Maurizio Chicco (2009)
Bollettino dell'Unione Matematica Italiana
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In this note I extend some previuos results concerning a generalized maximum principle for linear second order elliptic equations in divergence form, to the case of unbounded domains.
C. Meyer (2008)
Control and Cybernetics
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Babuška, Ivo
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