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

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