| 一类抛物方程组解的整体存在和有限爆破问题 |
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| 引用本文： | 杨红卫.一类抛物方程组解的整体存在和有限爆破问题[J].山东科技大学学报(自然科学版),2006,25(3):113-116. |
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| 作者姓名： | 杨红卫 |
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| 作者单位： | 山东科技大学,信息科学与工程学院,山东,青岛,266510 |
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| 摘 要： | 研究了由n个非线性抛物方程通过非线性反应项耦舍而得到得一类非线性抛物方程组。运用构造上下解的方法，讨论了这类方程组的齐次边界问题的整体存在和有限爆破的条件。
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| 关 键 词： | 非线性抛物方程 整体存在 有限爆破 上下解 |
| 文章编号： | 1672-3767（2006）03-0113-04 |
| 收稿时间： | 2005-12-22 |
| 修稿时间： | 2005年12月22 |
Global Existence and Finite Blow-up Problem of Solutions to A Class of Parabolic System of Equations |
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| YANG Hongwei.Global Existence and Finite Blow-up Problem of Solutions to A Class of Parabolic System of Equations[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2006,25(3):113-116. |
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| Authors: | YANG Hongwei |
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| Institution: | College of Info Science and Eng. , SUST, Qingdao, Shandong 266510, China |
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| Abstract: | In this paper, a class of parabolic system of equations coupled via n nonlinear parabolic equations is considered. By using some constructive procedures, the conditions for the global existence and the finite blow-up of solutions to the system of equation are established with homogeneous boundary conditions. |
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| Keywords: | nonlinear parabolic equation global existence finite blow-up upper and lower solutions |
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