| 带有非局部边界条件的反应——扩散方程解的爆破与整体存在 |
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| 引用本文： | 何文平,周杰荣.带有非局部边界条件的反应——扩散方程解的爆破与整体存在[J].南通大学学报(自然科学版),2007,6(1):4-7,19. |
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| 作者姓名： | 何文平 周杰荣 |
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| 作者单位： | 炮兵学院南京分院,江苏,南京,211132 |
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| 摘 要： | 考虑在有界区域中非局部边界条件下的一个反应-扩散方程,在一定条件下,该方程的解整体存在或有限时刻爆破.通过构造方程的上、下解,由比较原理,得到定理的证明.
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| 关 键 词： | 非局部边界条件 反应扩散方程 整体存在 有限时刻爆破 |
| 文章编号： | 1673-2340（2007）01-0004-04 |
| 修稿时间： | 2006-06-12 |
Blow-up and Global Existence of Solutions to a Reaction-diffusion Equation with Non-local Boundary Conditions |
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| Authors: | HE Wen-ping ZHOU Jie-rong |
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| Institution: | The Basic Department of Nanjing Artillery Academy, Nanjing 211132, China |
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| Abstract: | Considering a reaction-diffusion equation with non-local boundary conditions in bounded regions, we have found under some conditions the solutions of the equation blow up or exist globally. We have also proved the theorem by constructing the lower and upper solutions. |
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| Keywords: | non-local boundary condition reaction-diffusion equation exist globally blow up in finite time |
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