Affiliation:
1. Laboratoire d'Analyse Non Linéaire Appliquée et Modélisation, Université de Toulon et du Var, BP 132 - 83957 La Garde Cedex, France
Abstract
We characterize the functionals which are Mosco-limits, in the L2(Ω) topology, of some sequence of functionals of the kind [Formula: see text] where Ω is a bounded domain of ℝN (N ≥ 3). It is known that this family of functionals is included in the closed set of Dirichlet forms. Here, we prove that the set of Dirichlet forms is actually the closure of the set of diffusion functionals. A crucial step is the explicit construction of a composite material whose effective energy contains a very simple nonlocal interaction.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation
Cited by
51 articles.
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