Time-dependent attractor of the plate equation with nonlinear damping and linear memory

Tingting Liu; Qiaozhen Ma

doi:10.1216/rmj.2020.50.1435

Abstract

Based on the method of contractive functions, the existence of the time-dependent global attractor of the plate equation with nonlinear damping and linear memory is proved.

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Tingting Liu. Qiaozhen Ma. "Time-dependent attractor of the plate equation with nonlinear damping and linear memory." Rocky Mountain J. Math. 50 (4) 1435 - 1450, August 2020. https://doi.org/10.1216/rmj.2020.50.1435

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Received: 24 January 2019; Revised: 4 September 2019; Accepted: 4 February 2020; Published: August 2020

First available in Project Euclid: 29 September 2020

zbMATH: 07261873

MathSciNet: MR4154816

Digital Object Identifier: 10.1216/rmj.2020.50.1435

Subjects:

Primary: 35B41 , 37B55 , 45K05

Keywords: contractive functions , linear memory , nonlinear damping , plate equation , time-dependent attractor

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