%0 Journal Article
%A Rodríguez Bernal, Aníbal
%A Willie, Robert
%T Singular large diffusivity and spatial homogenization in a non homogeneous linear parabolic problem
%D 2005
%@ 1531-3492
%U https://hdl.handle.net/20.500.14352/50303
%X 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)).
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