Abstract
Homogenization theory allows to “replace” a “complicated” operator with rapidly varying coefficients by a “simple one”. This procedure applies to evolution operators of hyperbolic type or of Petrowsky's type.
One can study for these operators the exact controllability problem—in particular, using HUM (Hilbert Uniqueness Method) introduced in [5]. A general program is to study the following question: What happens to exact controllability during homogenization procedure?
The present paper is a first (and small) result in this program
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