Blow up and Decay for a Class of p-Laplacian Hyperbolic Equation with Logarithmic Nonlinearity

被引：6

作者：

Chu, Ying ^{[1
]}

Wu, Yuqi ^{[1
]}

Cheng, Libo ^{[1
]}

机构：

[1] Changchun Univ Sci & Technol, Sch Math & Stat, Changchun, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2022年 / 26卷 / 04期

基金：

中国国家自然科学基金;

关键词：

p-Laplacian hyperbolic equation; global existence; energy decay estimates; blow-up; logarithmic nonlinearity; GLOBAL EXISTENCE; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; WAVE-EQUATION; TIME; INSTABILITY; DIFFUSIONS;

D O I：

10.11650/tjm/220107

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study an initial boundary value problem for a p-Laplacian hyperbolic equation with logarithmic nonlinearity. By combining the modified potential well method with the Galerkin method, the existence of the global weak solution is studied, and the polynomial and exponential decay estimation under certain conditions are also given. Moreover, by using the concavity method and other techniques, we obtain the blow up results at finite time.

引用

页码：741 / 763

页数：23

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