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Blow-Up Result for a Semi-Linear Wave Equation with a Nonlinear Memory Term of Derivative Type 被引量:1
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作者 OUYANG Bai-ping XIAO Sheng-zhong 《Chinese Quarterly Journal of Mathematics》 2021年第3期235-243,共9页
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-... 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. 展开更多
关键词 Semi-linear wave equation BLOW-UP nonlinear memory term of derivative type Lifespan
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