2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106107We consider non-homogeneous media with properties which can be characterized by rapidly oscillated coefficients. For such coefficients we define a notion of two-scale extension, present several ways to construct two-scale extensions, discuss their properties and relation to homogenization22 pages, 1 figure. Your comments are welcomeAnalysis of PDEsClassical Analysis and ODEs35B27; 35B40; 35R05; 35J25text