| 带非局部源和吸收项的退化奇异抛物方程的爆破 |
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| 引用本文： | 李娟,崔泽建.带非局部源和吸收项的退化奇异抛物方程的爆破[J].四川大学学报(自然科学版),2008,45(1):35-40. |
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| 作者姓名： | 李娟 崔泽建 |
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| 作者单位： | 1. 四川大学数学学院,成都,610064;西华师范大学数学与信息学院,南充,637002
2. 西华师范大学数学与信息学院,南充,637002 |
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| 摘 要： | 考虑了带齐次Dirichlet边界条件的含有吸收项的非局部退化奇异抛物方程xmut-(xrux)x=∫a0updx-kuq解的爆破性质.使用特征函数和上下解技巧，得到了正解整体存在性与有限时刻爆破的充分条件.在一定条件下，证明了爆破解的爆破集是整个区域.
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| 关 键 词： | 非局部源 吸收项 退化奇异抛物方程 |
| 文章编号： | 0490-6756（2008）01-0035-06 |
| 收稿时间： | 2006-10-11 |
| 修稿时间： | 2007-04-30 |
Blow-up for degenerate parabolic equation with nonlocal source and absorption |
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| LI Juan,CUI Ze-Jian.Blow-up for degenerate parabolic equation with nonlocal source and absorption[J].Journal of Sichuan University (Natural Science Edition),2008,45(1):35-40. |
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| Authors: | LI Juan CUI Ze-Jian |
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| Institution: | School of Mathematics, Sichuan University; Department of Mathematics, China West Normal University;Department of Mathematics, China West Normal University |
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| Abstract: | The global existence and blow-up for degenerate parabolic equation with nonlocal source and absorption are studied. The sufficient conditions for the solution exists globally or blows up in finite time are abtained and the blow-up set of the solution is the whole domain under certain conditions is proved. |
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| Keywords: | nonlocal source absorption degenerate parabolic equation |
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