# PREPRINT 7/2001

A. K. GLASMAN

## 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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