| 半无界空间上的拟线性抛物型方程解的Blow—up现象 |
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| 引用本文： | 江成顺,谢春红.半无界空间上的拟线性抛物型方程解的Blow—up现象[J].应用数学学报,1998,21(1):84-91. |
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| 作者姓名： | 江成顺 谢春红 |
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| 作者单位： | 南京大学数学系!南京，210093，南京大学数学系!南京，210093 |
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| 摘 要： | 本文研究了拟线性抛物型方程的初边值问题在无界区域D上的全局解存在性问题和局部解的Blow-up问题．利用上、下解方法，并借助Green函数，给出了问题（I）全局解的存在性条件，也给出了局部解发生Blow－up现象的条件
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| 关 键 词： | 半无界空间 拟线性 抛物型方程 Blow－up现象 解 |
THE BLOWING-UP OF THE SOLUTIONS TO QUASILINEAR PARABOLIC DIFFERENTIAL EQUATIONS ON SEMI-INFINITE SPACE |
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| JIANG CHENGSHUN, XIE CHUNHONG.THE BLOWING-UP OF THE SOLUTIONS TO QUASILINEAR PARABOLIC DIFFERENTIAL EQUATIONS ON SEMI-INFINITE SPACE[J].Acta Mathematicae Applicatae Sinica,1998,21(1):84-91. |
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| Authors: | JIANG CHENGSHUN XIE CHUNHONG |
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| Abstract: | This paper is concerned with the blowing-up problem of the initial boundaryvalue problem for quasilinear parabolic equationHere D Rn is a Bounded or unbounded domain. With the assistance of Green's function,the authors obtain the conditions of existence of global solution and blowing--up of the localsolution to prblem (I). |
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| Keywords: | m-order simi-infinite space quasilinear parabolic equation Green's function blowing-up |
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