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两类非线性波动方程解的爆破时间的下确界 被引量：1

Lower bounds for blowup time of two nonlinear wave equations
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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。 The initial boundary value problem for the nonlinear viscoelastic euqation with strong damping term and dis- persive 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.
作者 董莉 DONG Li(College of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, Chin)
机构地区 山西大学数学科学学院
出处 《山东大学学报（理学版）》 CAS CSCD 北大核心 2017年第4期56-60,67,共6页 Journal of Shandong University(Natural Science)
基金 国家自然科学基金资助项目(61174082) 国家自然科学青年基金资助项目(61104129)
关键词 强阻尼项 频散项 Petrovsky方程 爆破 下确界 strong damping term dispersive term Petrovsky equation blow-up lower bound
分类号 O175.29 [理学—基础数学]
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山东大学学报（理学版）
2017年 第4期

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