Global existence and blow-up of solutions for a class of p-biharmonic wave equations with damping terms and power sources

被引：0
作者：
Yu, Fanbo [1 ]
Wu, Xiulan [1 ]
Zhao, Yaxin [1 ]
机构：
[1] Changchun Univ Sci & Technol, Sch Math & Stat, Changchun, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 01期
基金：
中国国家自然科学基金;
关键词：
blow-up; damped terms; decay; p-biharmonic; wave equation; ASYMPTOTIC-BEHAVIOR; TIME; NONEXISTENCE;
D O I：
10.1002/mma.10324
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of dampedp-biharmonictype wave equation with homogeneous Dirichlet boundary condition. First of all, we prove the local existence of weak solutions by Galerkin method. Besides, when the energy level is low E(0)<d, we prove the global existence, decay, and finite time blow-up of weak solutions through the method of potential well and the technique of differential inequalities. Finally, these results are extended in parallel to the critical case E(0)=d.
引用
收藏
页码：218 / 236
页数：19
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