一类伪抛物方程解爆破时间的上下界估计

The Upper and Lower Bounds on the Blow-up Time for a Pseudo-Parabolic Equation

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摘要考虑某一类伪抛物方程的初边值问题,通过使用能量不等式方法,得到了该方程的解在有限时间爆破的充分条件,同时也得到了解爆破时间的上下界估计. This paper considers an initial-boundary value problem for a pseudo-parabolic equation. By using the method of energy inequality, we derive sufficient conditions for the blow-up solutions of the pseudo-parabolic equation and the upper and lower bounds on the blow-up time for the pseudo parabolic equation.

作者张庆娜李玉环穆春来

机构地区重庆大学数学与统计学院四川师范大学数学与软件学院

出处《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第9期93-97,共5页 Journal of Southwest University(Natural Science Edition)

基金国家自然科学基金资助项目(11001189 11071266)

关键词伪抛物方程能量不等式方法爆破时间 pseudo-parabolic equation the method of energy inequality blow up time

分类号 O175.26 [理学—基础数学]

作者简介张庆娜（1987-），女，河南濮阳人，硕士研究生，主要从事偏微分方程理论的研究．

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共引文献1

1陈佳佳,罗祥勇,曾嵘.一类伪抛物方程解的爆破时间上下界估计[J].西南师范大学学报（自然科学版）,2012,37(7):42-45.

1陈佳佳,罗祥勇,曾嵘.一类伪抛物方程解的爆破时间上下界估计[J].西南师范大学学报（自然科学版）,2012,37(7):42-45.
2康东升,王妹,罗婧.带有Hardy位势项和Sobolev临界指数的非齐次椭圆方程组解的存在性[J].中南民族大学学报（自然科学版）,2015,34(4):109-113.
3刘金山.谈谈用一次函数证明不等式[J].数学教学通讯（教师阅读）,2006(11):50-53.
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8廖平,王龙,赵凤鸣.非负矩阵Perron根的新界值[J].贵州师范大学学报（自然科学版）,2014,32(4):46-47.
9温淑鸿.严格列对角占优矩阵‖A^(-1)‖_∞的上界估计[J].江南大学学报（自然科学版）,2015,14(5):666-670.
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一类伪抛物方程解爆破时间的上下界估计

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