| 一类退化抛物型方程组解的爆破性质 |
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| 引用本文： | 吴春晨.一类退化抛物型方程组解的爆破性质[J].江南大学学报(自然科学版),2014,13(6):743-748. |
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| 作者姓名： | 吴春晨 |
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| 作者单位： | 福州大学至诚学院,福建福州,350002 |
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| 基金项目： | 福建省自然科学基金项目，福建省教育厅A类科技项目 |
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| 摘 要： | 分析了一类具有3个方程的耦合退化抛物型方程组解的爆破性质,通过构造爆破的弱下解方法,得到了方程组有限时间内爆破的充分条件.将此方法应用到非局部源的方程组上,同样得到解的爆破性质.
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| 关 键 词： | 耦合退化 抛物型方程组 爆破 |
Blow-Up Properties of a Class of Degenerate Parabolic Equations |
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| WU Chunchen.Blow-Up Properties of a Class of Degenerate Parabolic Equations[J].Journal of Southern Yangtze University:Natural Science Edition,2014,13(6):743-748. |
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| Authors: | WU Chunchen |
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| Institution: | WU Chunchen;College of Zhicheng,Fuzhou University; |
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| Abstract: | The blow-up properties of the solutions for coupling degenerate parabolic equations are investigated in this paper. By applying methods of the constructing blow-up weak lower-solutions ,the sufficient condition for blow-up of solution in finite time is obtained. This method is applied to the equations with nonlocal source , the blow up properties of solutions are also obtained. |
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| Keywords: | coupling degenerate parabolic equations blow-up |
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