| 具有非线性边界条件半线性热方程组解的爆破性质 |
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| 引用本文： | 林支桂,谢春红.具有非线性边界条件半线性热方程组解的爆破性质[J].应用数学学报,1999,22(2):243-250. |
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| 作者姓名： | 林支桂 谢春红 |
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| 作者单位： | [1]扬州大学师范学院数学系 [2]南京大学数学系 |
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| 摘 要： | 本文考虑一类半线性热方程组的解，给出了解爆破的充分必要条件，爆破速率和爆破点的位置。
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| 关 键 词： | 半线性方程组 爆破点 热方程组 解 爆破性质 |
THE BLOW-UP PROPERTIES OF SOLUTIONS TOA SYSTEM OF SEMILINEAR HEAT EQUATIONSWITH NONLINEAR BOUNDARY CONDITIONS |
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| LIN ZHIGUI.THE BLOW-UP PROPERTIES OF SOLUTIONS TOA SYSTEM OF SEMILINEAR HEAT EQUATIONSWITH NONLINEAR BOUNDARY CONDITIONS[J].Acta Mathematicae Applicatae Sinica,1999,22(2):243-250. |
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| Authors: | LIN ZHIGUI |
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| Abstract: | This paper deals with the solutions to a system of semilinear heat equations.The necessary and sufficient conditions for the solution to have a finite time blow-up, theexact blow-up rates and localization of blow-up points are given. |
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| Keywords: | System of semilinear equations blow-up rate blow-up point |
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