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

被引：0

作者：

Liu, Gongwei ^{[1
]}

Lu, Yangyang ^{[1
]}

Zhang, Hongwei ^{[1
]}

机构：

[1] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2023年 / 36卷 / 03期

关键词：

Plate equation; global existence; energy damping; non-exponential decay; GLOBAL NONEXISTENCE THEOREMS; NONLINEAR-WAVE EQUATIONS; LONG-TIME DYNAMICS; BLOW-UP; EVOLUTION-EQUATIONS; EXISTENCE; INSTABILITY; ATTRACTORS; MODEL;

D O I：

10.4208/jpde.v36.n3.4September2023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：305 / 320

页数：16

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