Blow-up phenomena for a singular nonlocal viscoelastic problem with logarithmic nonlinearity

被引：0
作者：
Di, Huafei [1 ]
Qiu, Yi [1 ]
Peng, Xiaoming [2 ]
机构：
[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
[2] Guangdong Univ Finance & Econ, Sch Stat & Math, Guangzhou 510320, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 150卷
关键词：
Finite time blow-up; Logarithmic nonlinearity; Singular nonlocal; Viscoelastic wave equation; EQUATION; EXISTENCE; STABILITY;
D O I：
10.1016/j.aml.2023.108954
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with the blow-up phenomena for a singular nonlocal viscoelastic equation with logarithmic nonlinearity subject to nonlocal boundary conditions u(⠋, t) = 0and integral 0 ���⠋xu(x, t)dx = 0. Under the three different initial energy levels, we established the finite time blow-up criterion, and then give the upper bounds for blow-up time T* depending on the sign and range of initial energy E(0).
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页数：6
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