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Article Dans Une Revue Rendiconti di Matematica e delle sue Applicazioni Année : 2021

Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping

Résumé

In this paper, we obtain some stability results of (abstract) dissipative evolution equations with a nonautonomous and nonlinear damping using the exponential stability of the retrograde problem with a linear and autonomous feedback and a comparison principle. We then illustrate our abstract statements for different concrete examples, where new results are achieved. In a preliminary step, we prove some well-posedness results for some nonlinear and nonautonomous evolution equations.
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Dates et versions

hal-03390085 , version 1 (21-10-2021)

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Serge Nicaise. Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping. Rendiconti di Matematica e delle sue Applicazioni, 2021, 43 (1), pp.61-102. ⟨10.48550/arXiv.2110.11122⟩. ⟨hal-03390085⟩
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