%0 Journal Article
%A Arrieta Algarra, José María
%A Pereira, Marcone C.
%T Homogenization in a thin domain with an oscillatory boundary
%D 2011
%@ 0021-7824
%U https://hdl.handle.net/20.500.14352/41983
%X In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type  where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of the thin domain, the amplitude and period of the oscillations are all of the same order, given by the small parameter ϵ.
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