| 一类带时变系数的退化抛物系统的奇性 |
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| 引用本文： | 胡丽,樊明书. 一类带时变系数的退化抛物系统的奇性[J]. 四川大学学报(自然科学版), 2021, 58(2): 021005-4 |
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| 作者姓名： | 胡丽 樊明书 |
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| 作者单位： | 西南交通大学数学学院,成都610031 |
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| 摘 要： | 本文主要研究一类含时变系数的退化抛物系统在Neumann边界条件下的解的奇异性与全局正则性.利用弱解的比较原理和微分不等式,本文给出了解的整体存在条件与爆破条件.
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| 关 键 词： | 抛物方程 爆破 整体解 |
| 收稿时间： | 2020-07-24 |
| 修稿时间： | 2020-09-24 |
Singularity of a class of degenerate parabolic systems with tme-dependent coefficients |
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| HU Li and FAN Ming-Shu. Singularity of a class of degenerate parabolic systems with tme-dependent coefficients[J]. Journal of Sichuan University (Natural Science Edition), 2021, 58(2): 021005-4 |
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| Authors: | HU Li and FAN Ming-Shu |
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| Affiliation: | Southwest Jiaotong University,Southwest Jiaotong University |
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| Abstract: | We introduce the study of singularity and global regularity for a degenerate parabolic system with time-dependent coefficients under Neumann boundary condition. Firstly, we establish comparison theories of the weak solution. Secondly, using comparison principle some differential inequality technique, we give the global existence and blow-up criterion of the system. |
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| Keywords: | parabolic equation blow-up comparison principle global sulution degenerate. |
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