Abstract and Applied Analysis
Volume 2005 (2005), Issue 7, Pages 791-811
doi:10.1155/AAA.2005.791
Internal stabilization of Maxwell's equations in heterogeneous media
Serge Nicaise1
and Cristina Pignotti2
1MACS, Institut des Sciences et Techniques de Valenciennes, Université de Valenciennes et du Hainaut Cambrésis, Valenciennes Cedex 9 59313, France
2Dipartimento di Matematica Pura e Applicata, Università di L'Aquila Via Vetoio, Loc. Coppito, L'Aquila 67010, Italy
Abstract
We consider the internal stabilization of Maxwell's equations with Ohm's law with space variable coefficients in a bounded region with a smooth boundary. Our result is mainly based on an observability estimate, obtained in some particular cases by the multiplier method, a duality argument and a weakening of norm argument, and arguments used in internal stabilization of scalar wave equations.