| 非局部退化拟线性抛物型方程组解的爆破和整体存在性 |
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| 引用本文： | 陈玉娟. 非局部退化拟线性抛物型方程组解的爆破和整体存在性[J]. 数学物理学报(A辑), 2010, 30(2): 386-396 |
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| 作者姓名： | 陈玉娟 |
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| 作者单位： | 东南大学数学系,南京210097;南通大学理学院,江苏南通,226007 |
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| 基金项目： | 国家自然科学基金，江苏省教育厅自然科学指导性计划项目，江苏省青蓝工程以及南通大学立项资助项目 |
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| 摘 要： | 该文采用弱上下解方法和正则化技巧,研究了一类非局部退化抛物型方程组解的爆破和整体存在性,给出了爆破指标,并对非退化情形m=n=1,p_1=q_1=0,p_2q_21给出了一致爆破速率.
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| 关 键 词： | 退化抛物型方程组 非局部源 爆破 整体存在性 |
| 收稿时间： | 2008-03-25 |
| 修稿时间： | 2009-01-12 |
Blow-up and Global Existence for a Nonlocal Degenerate Quasilinear Parabolic System |
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| Chen Yujuan. Blow-up and Global Existence for a Nonlocal Degenerate Quasilinear Parabolic System[J]. Acta Mathematica Scientia, 2010, 30(2): 386-396 |
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| Authors: | Chen Yujuan |
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| Affiliation: | Department of Mathematics, Southwest University, Nanjing 210097|School of |Science, Nantong University, Jiangsu Nantong 226007 |
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| Abstract: | This paper investigates the blow-up and global existence of nonnegative solutions for a class of nonlocaldegenerate parabolic system. The sub-and-super solutions method and the regularization skill are used. The critical exponent of the system is gained. Furthermore, for the special case m = n = 1, p1= q1 =0, p2q2>1, the uniform blow-up profile is gained. |
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| Keywords: | Degenerate parabolic system Nonlocal source Global existence Blow-up |
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