ASYMPTOTIC STABILITY OF SECOND-ORDER EVOLUTION EQUATIONS WITH INTERMITTENT DELAY

作者:Nicaise Serge*; Pignotti Cristina
来源:Advances in Differential Equations, 2012, 17(9-10): 879-902.
DOI:10.57262/ade/1355702926

摘要

We consider second-order evolution equations in an abstract setting with intermittently delayed/not-delayed damping and give sufficient conditions ensuring asymptotic and exponential stability results. Our abstract framework is then applied to the wave equation, the elasticity system, and the Petrovsky system. For the Petrovsky system with clamped boundary conditions, we further prove an internal observability estimate that was not available in the literature.

  • 出版日期2012-10