Homogenization¶of Non-Uniformly Bounded Operators:¶Critical Barrier for Nonlocal Effects
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This paper deals with the homogenization of a class of highly oscillating monotonic operators which are uniformly elliptic but non-uniformly bounded. We determine an asymptotic barrier below which we obtain a classical behaviour and above which nonlocal effects appear. We also prove that this condition is optimal in the case of a fibre-reinforced medium.
KeywordsBound Operator Monotonic Operator Classical Behaviour Nonlocal Effect
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