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arXiv · 2110.11122

Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping

Serge Nicaise
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Abstract

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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Serge Nicaise. 2021-10-21. Stability properties of dissipative evolution equations with nonautonomous and nonlinear damping. https://arxiv.org/abs/2110.11122

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