Stabilization and blow-up for a class of weakly damped Kirchhoff plate equation with logarithmic nonlinearity

被引：1
作者：
Peng, Qingqing [1 ,2 ]
Zhang, Zhifei [1 ,2 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 56卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Plate equation; Logarithmic nonlinear; Weakly damping; Finite time blow-up; Polynomial and exponential decay; PETROVSKY TYPE EQUATION; BOUNDARY VALUE-PROBLEM; EXISTENCE; DECAY;
D O I：
10.1007/s13226-023-00518-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the initial value problem for weakly damped Kirchhoff plate equation with logarithmic nonlinearity in a bounded domain. We investigate the existence, uniqueness and polynomial or exponential energy decay estimates of global weak solutions under initial energy less than the depth of the potential well and some appropriate conditions. Moreover, we derive the finite time blow up of the weak solution with upper bounded initial energy.
引用
收藏
页码：711 / 727
页数：17
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