Asymptotic stability of second-order evolution equations with intermittent delay

Nicaise, S; Pignotti, C

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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.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/15529

Titolo:	Asymptotic stability of second-order evolution equations with intermittent delay
Autori interni:	PIGNOTTI, CRISTINA
Data di pubblicazione:	2012
Rivista:	ADVANCES IN DIFFERENTIAL EQUATIONS
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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