We consider second-order evolution equations in an abstract setting with intermittently delayed/not-delayed damping and give suf- ficient conditions ensuring asymptotic and exponential stability results. Our abstract framework is then applied to the wave equation, the elas- ticity 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.
Asymptotic stability of second-order evolution equations with intermittent delay
PIGNOTTI, CRISTINA
2012-01-01
Abstract
We consider second-order evolution equations in an abstract setting with intermittently delayed/not-delayed damping and give suf- ficient conditions ensuring asymptotic and exponential stability results. Our abstract framework is then applied to the wave equation, the elas- ticity 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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
