一类具有简并能量阻尼和源项的平板方程的能量衰减

Pub Date : 2023-06-01 DOI:10.4208/jpde.v36.n3.4

Gongwei Liu, Yang null, Hongwei Zhang

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引用次数: 0

摘要

．本文主要研究具有非局部简并能量阻尼项和源项的平板方程的初边值问题。利用势阱和Nakao不等式，建立了初始数据在稳定集中起始时的全局存在性和能量衰减率。最后，对系统的稳定性作了进一步的估计。

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Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term

. In this paper, we mainly investigate the initial boundary value problem for a plate equation with non-local degenerate energy damping term and source term. By using potential well and Nakao’s inequality, we establish the global existence and the energy decay rate when the initial data is starting in the stable set. Finally, we derive some further estimate on the stability.

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