%0 Journal Article %T 两类非线性波动方程解的爆破时间的下确界<br>Lower bounds for blow up time of two nonlinear wave equations %A 董莉 %J 山东大学学报(理学版) %D 2017 %R 10.6040/j.issn.1671-9352.0.2016.224 %X 摘要: 对带有强阻尼项和频散项的非线性黏弹方程和非线性Petrovsky方程的初边值问题进行研究,在方程的解爆破的前提下,通过适当的扰动得到爆破时间的下确界。<br>Abstract: The initial boundary value problem for the nonlinear viscoelastic euqation with strong damping term and dispersive term and the nonlinear Petrovsky equation is investigated. Under the premise of the solutions blow up of the equations, the lower bound of the blow up time is obtained by the proper perturbation %K 频散项 %K Petrovsky方程 %K 强阻尼项 %K 爆破 %K 下确界 %K < %K br> %K dispersive term %K blow-up %K Petrovsky equation %K strong damping term %K lower bound %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2016.224