Homogenization Results for Parabolic Problems with Dynamical Boundary Conditions
نویسندگان
چکیده
Abstract. The aim of this paper is to study the asymptotic behavior of the solution of a parabolic dynamical boundary -value problem in a periodically perforated domain. The domain is considered to be a fixed bounded open subset Ω⊂R , in which identical and pe riodically distributed perforations (holes) of size ε are made. In the perforated domain we consider a heat equation, with a Dirichlet condition on the exterior boundary and a dynamical boundary condition on the surface of the holes. The limit equation, as ε→0, is a heat equation with constant coefficients, but with extra -terms coming from the influence of the non -homogeneous dynamical boundary condition.
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