| 一类非线性抛物型方程的解在有限时刻的爆破性质 |
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| 引用本文： | 蒋良军. 一类非线性抛物型方程的解在有限时刻的爆破性质[J]. 四川师范大学学报(自然科学版), 1994, 17(5): 32-40 |
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| 作者姓名： | 蒋良军 |
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| 作者单位： | 西昌师范专科学校数学系，四川师范大学 |
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| 摘 要： | 本文考虑一类非线性抛物型方程混合问题的解的爆破性质．通过引入爆破因子，证明了这个问题的解在有限时间的爆破．同时，用凸性方法，进一步研究了解的爆破性质，得到了与前人研究互为补充的结果．
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| 关 键 词： | 非线性 抛物型方程 爆破因子 Blow－up |
THE BLOWING-UP BEHAVIOR OF THE SOLUTION IN A DEFINITE TIME FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS |
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| Jang Langjing. THE BLOWING-UP BEHAVIOR OF THE SOLUTION IN A DEFINITE TIME FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS[J]. Journal of Sichuan Normal University(Natural Science), 1994, 17(5): 32-40 |
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| Authors: | Jang Langjing |
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| Abstract: | This paper deals with the blow-up behavior of the solution to problem(A):By introducing the blowing-up factor, we prove the blow-up of the above solutions at finite time, and by applying concavity method, we study further of the blow-up behavior of the solution to problem(A), and obtain the results complementing the preceding research. |
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| Keywords: | Nonlinear parabolic equation Blowing-up factor Concavity method |
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