2026-06-29T17:05:01Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/503032023-08-26T05:14:40Zcom_20.500.14352_14col_20.500.14352_15

Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem Rodríguez Bernal, Aníbal Willie, Robert 517.986 Linear parabolic problem Non homogeneous boundary conditions Linear elliptic problem Eigenvalue problem Large diffusion Analytic semigroups Convergence of solutions Nonlinear boundary-conditions Attractors Equations Behavior Systems Funciones (Matemáticas) 1202 Análisis y Análisis Funcional We 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)). Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:45:13Z 2023-06-20T09:45:13Z 2005-05 journal article https://hdl.handle.net/20.500.14352/50303 1531-3492 10.3934/dcdsb.2005.5.385 eng BFM2003-03810 restricted access application/pdf American Institute of Mathematical Sciences