Blow-Up Result for a Semi-Linear Wave Equation with a Nonlinear Memory Term of Derivative Type  

作　　者：OUYANG Bai-ping XIAO Sheng-zhong 

机构地区：[1]College of Data Science,Guangzhou Huashang College,Guangzhou 511300,China [2]Guangdong AIB Polytechnic College,Guangzhou 510507,China

出　　处：《Chinese Quarterly Journal of Mathematics》2021年第3期235-243,共9页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of China(Grant No.11371175);Innovation Team Project in Colleges and Universities of Guangdong Province(Grant No.2020WCXTD008);Science Foundation of Huashang College Guangdong University of Finance&Economics(Grant No.2020HSDS01);Science Research Team Project in Guangzhou Huashang College(Grant No.2021HSKT01).

摘　　要：In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-up result for the semi-linear wave equation when the exponent of p is under certain conditions.Meanwhile,we derive an upper bound of the lifespan of solutions to the Cauchy problem for the semi-linear wave equation.

关 键 词：Semi-linear wave equation BLOW-UP Nonlinear memory term of derivative type Lifespan 

分 类 号：O175.29[理学—数学]