| 一类具非局部源抛物型方程组解的一致爆破性质 |
| |
| 引用本文： | 蒋良军,李慧玲. 一类具非局部源抛物型方程组解的一致爆破性质[J]. 四川师范大学学报(自然科学版), 2008, 31(6) |
| |
| 作者姓名： | 蒋良军 李慧玲 |
| |
| 作者单位： | 南京晓庄学院,数学系,江苏,南京,210017;东南大学,数学系,江苏,南京,210018 |
| |
| 摘 要： | 考虑带齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程组正解的爆破性质,给出了该问题的解在有限时间内爆破的一个充分条件,以及解的两个分量同时爆破的必要条件,并建立了解在区域内部一致爆破的模式.
|
| 关 键 词： | 抛物型方程组 非局部源 一致爆破模式 同时爆破 |
Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources |
| |
| JIANG Liang-jun,LI Hui-ling. Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources[J]. Journal of Sichuan Normal University(Natural Science), 2008, 31(6) |
| |
| Authors: | JIANG Liang-jun LI Hui-ling |
| |
| Abstract: | In this paper,the blow-up properties of positive solutions to semilinear parabolic systems with nonlocal sources,satisfying homogeneous Dirichlet boundary conditions are investigated.The sufficient conditions on the blow-up in a finite time of solutions and a necessary condition for the two components of the solution to blow-up simultaneously are firstly obtained,and then the uniform blow-up profile in the interior is established. |
| |
| Keywords: | Parabolic system Nonlocal source Uniform blow-up profile Simultaneous blow-up |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
