Rodríguez Bernal, AníbalWillie, Robert2023-06-202023-06-202005-051531-349210.3934/dcdsb.2005.5.385https://hdl.handle.net/20.500.14352/50303We make precise the sense in which spatial homogenization to a constant function in space is attained in a linear parabolic problem when large diffusion in all parts of the domain is assumed. Also interaction between diffusion and boundary flux terms is considered. Our starting point is a detailed analysis of the large diffusion effects on the associated elliptic and eigenvalue problems. Here convergence is shown in the energy space H-1(Omega) and in the space of continuous functions C(Omega). In the parabolic case we prove convergence in the functional space L-infinity((0, T), L-2(Omega)) boolean AND L-2((0, T), H-1(Omega)).engjournal articlehttp://www.aimsciences.org/journals/displayArticles.jsp?paperID=939http://www.aimsciences.org/index.htmlrestricted access517.986Linear parabolic problemNon homogeneous boundary conditionsLinear elliptic problemEigenvalue problemLarge diffusionAnalytic semigroupsConvergence of solutionsNonlinear boundary-conditionsAttractorsEquationsBehaviorSystemsFunciones (Matemáticas)1202 Análisis y Análisis Funcional