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Petersburg Department of Steklov Institute of Mathematics

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PREPRINT 7/2001

A. K. GLASMAN
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On A REGULARITY OF SOLUTION OF THE DYNAMICAL mAXWELL SYSTEM WITH
BOUNDARY CONTROL

This preprint was accepted May 30, 2001

` A.Glasman `

ABSTRACT:
The regularity of solutions of the dynamical Maxwell system with
boundary control is investigated. The role of control is played by
the tangential component of electric field. It's established that
for ${\bf e}_{tan} \in L_2((0,T);\, H^1(\partial \Omega;\,{\bf
R}^3))$ the solution $\{{\bf e}, {\bf h} \}$ belongs to the class
$C([0,T];\, L_2(\Omega;\, {\bf R}^3)) \times
C^1([0,T];\,H^{-1}(\Omega;\,{\bf R ^3}))$.

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