| 含有梯度项拋物型方程的逆爆破问题 |
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| 引用本文： | 李艳玲. 含有梯度项拋物型方程的逆爆破问题[J]. 陕西师范大学学报(自然科学版), 1989, 0(2) |
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| 作者姓名： | 李艳玲 |
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| 作者单位： | 陕西师范大学数学系 |
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| 摘 要： | 本文主要讨论因子G(t)对含有梯度项抛物型方程cauchy问题的整体解存在与否的影响.一般来讲,这种问题的整体解是不存在的,但当给非线性项增加一个适当的因子G(t),则可利用线性迭代法证明整体解的存在性.
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| 关 键 词： | 逆爆破 整体解 线性迭代 |
An Anti-blow-up of Parabolic Equation with Gradient Term |
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| Li Yanling. An Anti-blow-up of Parabolic Equation with Gradient Term[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1989, 0(2) |
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| Authors: | Li Yanling |
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| Affiliation: | Department of Mathematics |
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| Abstract: | The paper mainly discusses whether the factor G(t) has any effect on the existence of the global solution of Cauchy Problem of the Parabolic equation with gradient term.Generally speaking,a global solution of this Problem does not exist, but when a suitable factor G(t) is added to the nonlinear term,a global solution can be proved to be in existence by using linear iteration method. |
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| Keywords: | anti-blow-up global solution linear iteration |
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