| 摘要: |
| 本文巧妙应用广义Sobolev不等式，研究了一类拟线性抛物型方程解的爆破时间的下界，该结果推广了文献[1]中的定理2.1和定理3.1的结论，同样完善了文献[2]中的模型（4.1）的结论. |
| 关键词: 拟线性抛物型方程 初边值问题 爆破时间的下界 |
| DOI： |
| 分类号:O29 |
| 基金项目:Supported by The Basic Scientific Research Foundation of Inner Mongolia Agricultural University(JC2016002). |
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| LOWER BOUND FOR THE BLOW-UP TIME OF THE SOLUTION TO A QUASI-LINEAR PARABOLIC PROBLEM |
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BAO Ai-guo, WU Guo-rong
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Department of Mathematics and Statistics, School of Science, Inner Mongolia Agricultural University, Inner Mongolia Huhhot 010018 China
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| Abstract: |
| In this paper, using a delicate application of general Sobolev inequality, we establish the lower bound for the blow-up time of the solution to a quasi-linear parabolic problem,which improves the result of Theorem 2.1, Theorem 3.1 in[1], and the model (4.1) in[2]. |
| Key words: Quasi-linear parabolic equation Initial-boundary value problem lower bound for blow-up time |
