| 一类拟线性抛物方程解的爆破 |
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| 引用本文： | 雷澜.一类拟线性抛物方程解的爆破[J].重庆工商大学学报(自然科学版),2007,24(5):464-466. |
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| 作者姓名： | 雷澜 |
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| 作者单位： | 重庆工商大学理学院,重庆,400067 |
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| 摘 要： | 讨论了拟线性抛物方程具有第3类非线性边界条件混合问题解的爆破,研究了其古典解,在对混合问题中的f和g作出适当假设的前提下,证明了上述混合问题的解在有限时刻爆破.该结论放宽了对假设条件的限制.
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| 关 键 词： | 拟线性抛物方程 混合问题 爆破 |
| 文章编号： | 1672-058X（2007）05-0464-03 |
| 收稿时间： | 2007-01-04 |
| 修稿时间： | 2007-03-24 |
The blow-up of the solution of the quasilinear parabolic equation |
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| LEI Lan.The blow-up of the solution of the quasilinear parabolic equation[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2007,24(5):464-466. |
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| Authors: | LEI Lan |
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| Institution: | School of Science ,Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | In this paper,the blow-up of mix problem under the third nonlinear boundary condition for a kind of quasilinear parabolic equations is discused,and its classicality solution is researched.Under some hypothesis conditions to f and g,it's proved that the solution of mix problem will blow up within limited time.Thus,the hypothesis conditions are extended. |
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| Keywords: | quasilinear parabolic equation mix problem blow-up |
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