| 一类带有慢衰减初值的双重退化抛物方程的解的生命跨度(英文) |
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| 引用本文： | 李玉环,郑攀,穆春来.一类带有慢衰减初值的双重退化抛物方程的解的生命跨度(英文)[J].四川师范大学学报(自然科学版),2011,34(5):740-745. |
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| 作者姓名： | 李玉环 郑攀 穆春来 |
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| 作者单位： | 1. 四川师范大学数学与软件科学学院,四川成都,610066
2. 重庆大学数学与统计学院,重庆,401331 |
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| 基金项目： | supported by The National Natural Science Foundation of China(11001189,11071266)~~ |
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| 摘 要： | 研究了一类带有强非线性源的双重退化抛物方程ut=div(|▽um|p-2▽ul)+uq,(x,t)∈RN×(0,T),其中,N≥1,p>2,m,l,q>1的Cauchy问题的正解的性质.利用能量和上下解方法,得到了爆破解的生命跨度的上下界估计.
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| 关 键 词： | 生命跨度 双重退化抛物方程 慢衰减初值 爆破 |
Life Span of Solutions for a Doubly Degenerate Parabolic Equation with Slow Decay Initial Values |
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| LI Yu-huan,ZHENG Pan,MU Chun-lai.Life Span of Solutions for a Doubly Degenerate Parabolic Equation with Slow Decay Initial Values[J].Journal of Sichuan Normal University(Natural Science),2011,34(5):740-745. |
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| Authors: | LI Yu-huan ZHENG Pan MU Chun-lai |
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| Institution: | 1.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan;2.College of Mathematics and Statistics,Chongqing University,Chongqing 401331) |
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| Abstract: | In this paper,we investigate the positive solution of the Cauchy problem for a doubly degenerate parabolic equation with a strongly nonlinear source ut =div(｜ ▽um ｜p-2 ▽ul)+ uq,(x,t)∈ RN ×(0,T),where N≥ 1,p ＞ 2 and m,l,q ＞ 1.Using the energy method and super-and sub-solution method,we obtain the upper and lower estimates of life span of blow-up solutions. |
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| Keywords: | life span doubly degenerate parabolic equation slow decay initial value blow-up |
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