| 一类非线性抛物型方程的blow－up |
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| 引用本文： | 穆春来.一类非线性抛物型方程的blow－up[J].复旦学报(自然科学版),1994(3). |
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| 作者姓名： | 穆春来 |
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| 作者单位： | 复旦大学数学研究所 |
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| 摘 要： | 考虑如下非线性抛物型方程具有正的非线性Ｎｅｕｍａｎｎ条件的初边值问题得到方程经典解的局部存在性结果，而整体存在性和在有限时间发生ｂｌｏｗ－ｕｐ的现象将依赖于下列积分的发散和收敛性，即
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| 关 键 词： | 非线性抛物方程 局部解 整体解 blow－up |
Blow - up for a class of nonlinear parabolic equation |
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| Mu Chunlai.Blow - up for a class of nonlinear parabolic equation[J].Journal of Fudan University(Natural Science),1994(3). |
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| Authors: | Mu Chunlai |
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| Institution: | Institute of Mathematics |
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| Abstract: | In this paper, one considers the following initial boundary value problem of the nonlinear parabolic equation with a positive nonlinear boundary condition one obtains a result on local existence of classical solution. It is shown that the global solvability or the finite time blow-up depends upon the divergency or convergency of the following integral |
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| Keywords: | nonlinear parabolic equation local solvability solvability blow - up |
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