RT Journal Article T1 Homogenization in a thin domain with an oscillatory boundary A1 Arrieta Algarra, José María A1 Pereira, Marcone C. AB 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. PB Elsevier SN 0021-7824 YR 2011 FD 2011 LK https://hdl.handle.net/20.500.14352/41983 UL https://hdl.handle.net/20.500.14352/41983 LA eng NO DGES NO PC NO MICINN NO BSCH-UCM, Spain NO FAPESP NO CAPES DGU DS Docta Complutense RD 7 feb 2026