Stabilization of second-order evolution equations with time delay

2013/08/23 by Serge Nicaise, Nicaise, Serge, Cristina Pignotti +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1308.5106

arxiv created 2013/08/23 · arxiv updated 2013/08/26

Abstract

We consider second-order evolution equations in an abstract setting with damping and time delay and give sufficient conditions ensuring exponential stability. Our abstract framework is then applied to the wave equation, the elasticity system and the Petrovsky system.

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