| 带非局部源的退化奇异半线性抛物方程组解的整体存在性与爆破 |
| |
| 引用本文： | 田俐萍,林红霞. 带非局部源的退化奇异半线性抛物方程组解的整体存在性与爆破[J]. 四川师范大学学报(自然科学版), 2007, 30(1): 66-70 |
| |
| 作者姓名： | 田俐萍 林红霞 |
| |
| 作者单位： | 四川大学,数学学院,四川,成都,610064;西南交通大学,基础课部,四川,峨眉,614202;西南交通大学,基础课部,四川,峨眉,614202 |
| |
| 摘 要： | 研究了带齐次Dirichlet边界条件的非局部退化奇异半线性抛物方程组,建立了经典解的局部存在性与唯一性定理,在适当的假设下,得到了非负解的整体存在性与有限时刻爆破.
|
| 关 键 词： | 退化 奇异 抛物方程组 非局部源 整体存在 爆破 |
| 文章编号： | 1001-8395（2007）01-0066-05 |
| 收稿时间： | 2006-07-01 |
| 修稿时间： | 2006-07-01 |
Global Existence and Blow-up for Degenerate and Singular Semilinear Parabolic System with Nonlocal Source |
| |
| TIAN Li-ping,LIN Hong-xia. Global Existence and Blow-up for Degenerate and Singular Semilinear Parabolic System with Nonlocal Source[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(1): 66-70 |
| |
| Authors: | TIAN Li-ping LIN Hong-xia |
| |
| Affiliation: | 1. College of Mathematics, Sichuan University, Chengdu 610064, Sichuan; 2. Department of Basic Courses, Southwest Jiaotong University, Emei 614202, Sichuan |
| |
| Abstract: | In this paper the authors investigate a nonlocal degenerate singular semilinear parabolic system with homogeneous Dirichlet conditions. The local existence and uniqueness of classical solution are established. Under appropriate hypotheses, the global existence and finite time blow-up of positive solution are obtained. |
| |
| Keywords: | Degenerate Singular Parabolic systems Nonlocal source Global existence Finite time blow-up |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
