两类非线性波动方程解的爆破时间的下确界

doi:10.6040/j.issn.1671-9352.0.2016.224

山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (4): 56-60.doi: 10.6040/j.issn.1671-9352.0.2016.224

两类非线性波动方程解的爆破时间的下确界

董莉

山西大学数学科学学院, 山西太原 030006

收稿日期:2016-05-19 出版日期:2017-04-20 发布日期:2017-04-11
作者简介:董莉(1990— ),女,硕士研究生,研究方向为偏微分方程和组合优化. E-mail:617408853@qq.com
基金资助:
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)

Lower bounds for blow up time of two nonlinear wave equations

DONG Li

College of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China

Received:2016-05-19 Online:2017-04-20 Published:2017-04-11

摘要/Abstract

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。

关键词: 频散项, Petrovsky方程, 强阻尼项, 爆破, 下确界

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.

Key words: dispersive term, blow-up, Petrovsky equation, strong damping term, lower bound

中图分类号:

O175.29

董莉. 两类非线性波动方程解的爆破时间的下确界[J]. 山东大学学报（理学版）, 2017, 52(4): 56-60.

DONG Li. Lower bounds for blow up time of two nonlinear wave equations[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(4): 56-60.

参考文献

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两类非线性波动方程解的爆破时间的下确界

Lower bounds for blow up time of two nonlinear wave equations

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