RT Journal Article T1 Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary A1 Arrietay, J.M. A1 Villanueva Pesquera, M. AB We analyze the behavior of solutions of the Poisson equation with homogeneous Neumann boundary conditions in a two-dimensional thin domain which presents locally periodic oscillations at the boundary. The oscillations are such that both the amplitude and period of the oscillations may vary in space. We obtain the homogenized limit problem and a corrector result by extending the unfolding operator method to the case of locally periodic media. PB Society for Industrial and Applied Mathematics Publications SN 00361410 YR 2016 FD 2016 LK https://hdl.handle.net/20.500.14352/24636 UL https://hdl.handle.net/20.500.14352/24636 LA eng NO Ministerio de Economía y Competitividad (MINECO) NO Grupo de Investigación UCM CADEDIF DS Docta Complutense RD 12 abr 2025