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).

引用

页数：6

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