BOUNDARY STABILIZATION OF MAXWELL EQUATIO NS

Authors
KOMORNIK V
Citation
V. Komornik, BOUNDARY STABILIZATION OF MAXWELL EQUATIO NS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(6), 1994, pp. 535-540
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
6
Year of publication
1994
Pages
535 - 540
Database
ISI
SICI code
0764-4442(1994)318:6<535:BSOMEN>2.0.ZU;2-W
Abstract
We consider Maxwell's equations with the Silver-Miller absorbing bound ary conditions in a bounded domain of R3. Assuming that the domain is star-shaped we prove the exponential energy decay of the solutions. As a consequence, we improve some earlier exact controllability theorems by weakening their time assumptions. Our results are optimal if OMEGA is a ball. The proofs are based on a new identity obtained by the mul tiplier method.