[1]陈友朋.带时滞的退化半线性抛物方程的熄灭(英文)[J].南京师范大学学报(自然科学版),2006,29(01):7-13.
 Chen Youpeng.Quenching for Degenerate Semilinear Parabolic Equations with Time Delay[J].Journal of Nanjing Normal University(Natural Science Edition),2006,29(01):7-13.
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带时滞的退化半线性抛物方程的熄灭(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第29卷
期数:
2006年01期
页码:
7-13
栏目:
数学
出版日期:
2006-03-30

文章信息/Info

Title:
Quenching for Degenerate Semilinear Parabolic Equations with Time Delay
作者:
陈友朋12
(1. 盐城师范学院数学系,江苏盐城224002)
(2. 南京师范大学数学与计算机科学学院,江苏南京210097)
Author(s):
Chen Youpeng 12
(1. Department ofMathematics, Yancheng Normal Institute, Yancheng 224002, China)
(2. School ofMathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China)
关键词:
熄灭问题 退化半线性抛物方程 时滞 临界长度 简单估计
Keywords:
quenching p roblem degenerate semilinear parabolic equation time delay critical length a simp le estimate
分类号:
O175.26
摘要:
考虑带时滞的退化半线性抛物方程的熄灭问题.利用正则化方法和上下解技巧,我们得到了上述问题经典解的存在惟一性,同时还证明了存在一个临界长度a*使得上述问题的解u当a<a*时整体存在,而当a>a*时在有限时间内熄灭.进而我们还得到关于临界长度a*的一个简单估计.
Abstract:
This paper dealswith the quenching p roblem for degenerate semilinear parabolic equationswith time delay. By using regularizationmethod and upper and lower solutions’ technique, we obtain the existence of a unique classical so2 lution to the above p roblem and p rove that there exists a critical length a *such that the solution u of the above p roblem exists globally for a < a *and quenches in finite time for a > a * . Furthermore, we also get a simp le estimate on the criti2 cal length a *.

参考文献/References:

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备注/Memo

备注/Memo:
Foundation item: Supported Partially by the Research Program of the Natural Science of the Universitiesin Jiangsu Province (05KJB110144) .
Biography: Chen Youpeng, born in 1966, doctor, associate professor, majored in nonlinear partial differential equations.
E-mail: youpengc@yahoo. com. cn
更新日期/Last Update: 2013-05-05