An Explicit Lower Bound for Blow Up Time in a Class of Nonlinear Wave Equations with Nonlinear Damping and Source Terms  

作　　者：Xiao-ming PENG Ya-dong SHANG Xue-qin WANG 

机构地区：[1]School of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China [2]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China [3]College of Mathematics and Informatics,South China Agricultural University,Guangzhou 510642,China

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第1期148-154,共7页应用数学学报（英文版）

基　　金：supported by big data and Educational Statistics Application Laboratory(2017WSYS001);Guangdong University of Finance and Economics。

摘　　要：This paper deals with an initial boundary value problem for a class of nonlinear wave equation with nonlinear damping and source terms whose solution may blow up in finite time.An explicit lower bound for blow up time is determined by means of a differential inequality argument if blow up occurs.

关 键 词：lower bound blow up nonlinear wave equation nonlinear damping nonlinear source 

分 类 号：O175.29[理学—数学]