| 非局部边界条件的退化抛物方程组解的爆破和整体存在性 |
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| 引用本文： | 凌征球,周泽文.非局部边界条件的退化抛物方程组解的爆破和整体存在性[J].数学物理学报(A辑),2014,34(2):338-346. |
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| 作者姓名： | 凌征球 周泽文 |
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| 作者单位： | 玉林师范学院 数学与信息科学学院 广西 玉林 537000 |
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| 基金项目： | 国家自然科学基金(11071100)资助. |
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| 摘 要： | 主要讨论具有非局部源与非局部边界条件的退化抛物型方程组,借助于上解与下解的技术,给出了该系统整体解的存在与有限时刻爆破的条件.此结果不仅扩充了已有的结论~(8]),而且表明,系数a,b和边界条件中的权重函数g_1(x,y),g_2(x,y),以及常数l_1,l_2在决定系统解的爆破与否中起着关键的作用.
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| 关 键 词： | 退化抛物型方程组 非局部源与非局部边界 整体存在性 爆破 |
| 收稿时间： | 2012-10-31 |
| 修稿时间： | 2013-03-30 |
Blow-up and Global Existence of Solutions to a Degenerate Parabolic System with Nonlocal Boundaries |
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| LING Zheng-Qiu,ZHOU Ze-Wen.Blow-up and Global Existence of Solutions to a Degenerate Parabolic System with Nonlocal Boundaries[J].Acta Mathematica Scientia,2014,34(2):338-346. |
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| Authors: | LING Zheng-Qiu ZHOU Ze-Wen |
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| Institution: | Institute of Mathematics and Information Science, Yulin Normal University, Guangxi Yulin |537000 |
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| Abstract: | This paper deals with a degenerate parabolic system with nonlinear nonlocal sources and nonlocal boundary conditions. With the help of the super- and sub-solution methods, the blow-up and global existence conditions of positive solutions are obtained. These results not only extend those in 8], but also show that the global existence and blow-up results depend on the weight functions g1(x, y), g2(x, y) and the size of a, b, l1, l2. |
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| Keywords: | Degenerate parabolic systemzz Nonlocal source and nonlocal boundaryzz Global existencezz Blow-upzz |
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