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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 02/2000

M. Belishev and A. Glasman
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BOUNDARY CONTROL OF THE MAXWELL
DYNAMICAL SYSTEM: LACK OF CONTROLLABILITY
BY TOPOLOGICAL REASONS

This preprint was accepted January 21, 2000

Contact:
` M. I. Belishev `

ABSTRACT:
The paper deals with a boundary control problem for the Maxwell
dynamical
system in a bounbed domain
$\Omega \subset {\bold R^3}$. Let $\Omega^T \subset \Omega$ be a subdomain
filled by waves at the moment $T$,
$T_{\ast}$ the moment at which the waves fill the whole
of $\Omega$. The following effect occurs: for small enough
$T$ the system is approximately controllable in $\Omega^T$ whereas for
large $T
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