Title :
Boundary stabilization of the wave equation in almost star-shaped domains
Author :
Martinez, Patrick
Author_Institution :
ENS Cachan, Rennes, France
Abstract :
We improve several earlier results on the boundary stabilization of the wave equation in a bounded domain. First we weaken the usual geometrical conditions. Second, we improve the estimate of the decay rate in the case of polygonal domains. Then we show how to modify this method to study Maxwell´s equations. The proofs are based on the construction of new multipliers, better adapted to the domain
Keywords :
Hessian matrices; distributed parameter systems; set theory; stability; wave equations; Maxwell´s equations; almost star-shaped domains; boundary stabilization; decay rate; polygonal domains; Costs; Eigenvalues and eigenfunctions; Elastodynamics; Feedback; Maxwell equations; Observability; Partial differential equations;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832859
