LOWER BOUNDS FOR THE BLOW-UP TIME IN A HIGHER-ORDER NONLINEAR KIRCHHOFF-TYPE EQUATION

被引：0

作者：

Ye, Yaojun ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math & Stat, Hangzhou 310023, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 01期

关键词：

Nonlinear higher-order Kirchhoff-type equation; initial-boundary value problem; nonlinear dissipation; blow-up; lower bound for the blow-up time; GLOBAL EXISTENCE; ASYMPTOTIC STABILITY; WAVE-EQUATIONS; ENERGY DECAY;

D O I：

10.7153/jmi-2024-18-05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a nonlinear higher -order Kirchhoff -type equation with dissipation in a bounded domain. By establishing a first order differential inequality technique, a lower bound for the blow-up time is obtained when the blow-up of solution occurs.

引用

页码：69 / 77

页数：9

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