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EnglishWe 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.
| Titolo: | Asymptotic stability of second-order evolution equations with intermittent delay | |
| Autori: | ||
| Data di pubblicazione: | 2012 | |
| Rivista: | ||
| 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. | |
| Handle: | http://hdl.handle.net/11697/15529 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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