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The Boundary-Value Problem in Domains with Very Rapidly Oscillating Boundary

Gregory Chechkin 1 Avner Friedman Andrey Piatnitski
1 SYSDYS - Stochastic Dynamical Systems
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The asymptotic behavior of solutions to the boundary-value problems posed in domains with very rapidly oscillating locally periodic boundary, is studied. For various kinds of boundary conditions the limiting problems are found and the estimates of the residual are given. Also, we construct an additional term of the asymptotics to improve the estimates of the residual.
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Gregory Chechkin, Avner Friedman, Andrey Piatnitski. The Boundary-Value Problem in Domains with Very Rapidly Oscillating Boundary. RR-3062, INRIA. 1996. ⟨inria-00073630⟩

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