| 具有非局部反应项的退化抛物方程解的爆破 |
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| 引用本文： | 荆焕先,石金娥,魏保军,郭从洲.具有非局部反应项的退化抛物方程解的爆破[J].河南纺织高等专科学校学报,2011(2):71-72. |
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| 作者姓名： | 荆焕先 石金娥 魏保军 郭从洲 |
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| 作者单位： | 信息工程大学理学院,河南郑州450001 |
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| 摘 要： | 讨论了具有非局部反应项的退化抛物方程xαut-uxx=λeβu（x,t）0,（x,t）∈Ω×（0,T）的初边值问题解的爆破性.通过引入特征函数,通过特征值问题的性质构造出爆破因子,并利用比较原理,得出了解在有限时刻爆破.
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| 关 键 词： | 退化的抛物方程 非局部源 特征函数 解的爆破 |
Blow-up for a Degenerate Parabolic Equation with a Nonlocal Source |
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| JING Huanxian,SHI Jin＇e,WEI Baojun,GUO Congzhou.Blow-up for a Degenerate Parabolic Equation with a Nonlocal Source[J].Journal of Henan Textile College,2011(2):71-72. |
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| Authors: | JING Huanxian SHI Jin＇e WEI Baojun GUO Congzhou |
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| Affiliation: | (Institute of Science,Information Engineering University,Zhengzhou 450001,China) |
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| Abstract: | This paper investigates the blow-up for a Dirichlet problem of a class of degenerate parabolic equation with a non-local source.xαut-uxx=λeβu（x,t）0,（x,t）∈Ω×（0,T）,By introducing the eigen-function,and through the property of eigen-value problem,the blowing-up factor is constructed,and using the comparative principle,the solution blow-up in finite time is obtained. |
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| Keywords: | degenerate parabolic equations non-local source eigen-function blow-up |
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