数学季刊 ›› 2021, Vol. 36 ›› Issue (3): 235-243.doi: 10.13371/j.cnki.chin.q.j.m.2021.03.002
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 differential 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.
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