| 带非线性局部源的一维P-Laplacian抛物方程解的爆破 |
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| 引用本文： | 曾嵘,程正琼. 带非线性局部源的一维P-Laplacian抛物方程解的爆破[J]. 东莞理工学院学报, 2008, 15(1): 21-24 |
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| 作者姓名： | 曾嵘 程正琼 |
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| 作者单位： | 重庆大学数理学院,重庆,400044;四川农业大学数学系,四川雅安,625014 |
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| 摘 要： | 研究了一类具有齐次Dirichlet边界条件和带局部反应源项的抛物方程，通过运用比较原理和上下解方法，构造特殊的辅助函数，给出了解在有限时间爆破和整体存在的一些充分条件。由此得到，当反应项和扩大项的指数满足不同条件时，方程的解具有不同的性质。
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| 关 键 词： | 局部源 P-Laplacian 爆破 整体存在 |
| 文章编号： | 1009-0312（2008）01-0021-04 |
| 收稿时间： | 2007-08-13 |
| 修稿时间： | 2007-08-13 |
The Blow-up of One-dimensional p-Laplacian Parabolic Equation with Nonlinear Localized Source |
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| ZENG Rong,CHENG Zheng-qiong. The Blow-up of One-dimensional p-Laplacian Parabolic Equation with Nonlinear Localized Source[J]. Journal of Dongguan Institute of Technology, 2008, 15(1): 21-24 |
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| Authors: | ZENG Rong CHENG Zheng-qiong |
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| Affiliation: | ZENG Rong CHENG Zheng-qiong (College of Mathematics , Physics,Chongqing University,Chongqing 400044,China,Department of Mathematics,Sichuan Agricultural University,Yaan 625014,China) |
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| Abstract: | In this paper we consider the equations with homogenous Dirichlet boundary condition and nonlinear local source. By comparison the theorem and the upper-lower solution method, the sufficient condition for the finite time bow-up and global existence of solution are established. The solution has different properties when the exponential satisfy different conditions. |
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| Keywords: | P-Laplacian |
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