Improved growth estimate of infinite time blowup solution for a semilinear hyperbolic equation with logarithmic nonlinearity

被引：9

作者：

Han, Jiangbo ^{[1
]}

Xu, Runzhang ^{[1
]}

Yang, Chao ^{[1
,2
]}

机构：

[1] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 143卷

基金：

中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;

关键词：

Infinite time blowup; Growth estimate; Logarithmic nonlinearity; Potential well; Hyperbolic equation; GLOBAL EXISTENCE; SOLITONS; MODEL;

D O I：

10.1016/j.aml.2023.108670

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short paper, we give an improved estimate of the infinite time blowup solu-tion for the semilinear wave equation with logarithmic nonlinearity. Comparing the previous work, this improved growth estimate not only provides the information about the relationship between the power of the nonlinearity and the growth, but also gives a faster growth estimate. The proof of the main conclusions is carried out at the negative initial energy level, the sub-critical initial energy level, the critical initial energy level and the arbitrary positive initial energy level.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：6

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