Advances in Differential Equations

Asymptotic stability of second-order evolution equations with intermittent delay

Serge Nicaise and Cristina Pignotti

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Abstract

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.

Article information

Source
Adv. Differential Equations Volume 17, Number 9/10 (2012), 879-902.

Dates
First available in Project Euclid: 17 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355702926

Mathematical Reviews number (MathSciNet)
MR2985678

Zentralblatt MATH identifier
06108229

Subjects
Primary: 35L05: Wave equation 93D15: Stabilization of systems by feedback

Citation

Nicaise, Serge; Pignotti, Cristina. Asymptotic stability of second-order evolution equations with intermittent delay. Adv. Differential Equations 17 (2012), no. 9/10, 879--902. https://projecteuclid.org/euclid.ade/1355702926.


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