| 一类具梯度项的非线性抛物方程 |
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| 引用本文： | 张健. 一类具梯度项的非线性抛物方程[J]. 四川师范大学学报(自然科学版), 1994, 17(4): 1-4 |
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| 作者姓名： | 张健 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文考虑一类具梯度项的非线性抛物方程，通过引入特征函数及构造适当的破裂因子，证明了这类方程初边值问题之解在有限时间内破裂，从而推广了１９８９年ＫａｗｏｈｌＢ．和ＣｈｉｐｏｔＭ．等人的结果。
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| 关 键 词： | 非线性 特征函数 抛物型方程 |
A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH GRADIENT TERMS |
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| Zhang Jian. A CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH GRADIENT TERMS[J]. Journal of Sichuan Normal University(Natural Science), 1994, 17(4): 1-4 |
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| Authors: | Zhang Jian |
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| Abstract: | n this paper, a class of nonlinear Parabolic equations with gradient terms are investigated.By introducing, the eigenfunction and constructing proper blow up factor, we prove the solutions of the initial-boundary value problems to the equations blow up in finite time. and generalize the results of B. Kawohl's, M. Chipot's et al.in 1989. |
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| Keywords: | onlinear parabolic equation blow up factor eigenfnnction |
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