Volume no :16, Issue no: 1-2, July and August 2012

GLOBAL EXISTENCE AND EXPONENTIAL STABILITY FOR A COUPLED WAVE SYSTEM

Author's: YOLANDA SILVIA SANTIAGO AYALA
Pages: [29] - [46]
Received Date: July 31, 2012
Submitted by:

Abstract

Using semigroups theory, regularity results and a theorem associated to the Lumer Phillips theorem, we prove the existence of global solution for a coupled wave system. Also, using multiplicative techniques and the classic Gearhart theorem, introduced in Liu-Zheng [7], we prove that energy associated to the system decays exponentially to zero when Here we give two new and interesting proofs.

Stability for a coupled wave system has been considered in [13], where they used Prüs result [12].

Keywords

exponential stability, coupled wave system, Gearhart theorem.