Solvability of a boundary-value problem for transonic flow in a nozzle.

Kuz'min, A.G.

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Local existence of the solution to the initial-boundary value problem in nonlinear thermodiffusion in micropolar medium.

Gawinecki, J. (2000)

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On classical solutions of mixed boundary problems for one-dimensional parabolic equation of second order.

Lažetić, Nebojša L. (2000)

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The boundary behavior of a composite material

Maria Neuss-Radu (2001)

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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.