| 二阶非线性抛物方程解的定性性质 |
| |
| 引用本文： | 何文平,周杰荣.二阶非线性抛物方程解的定性性质[J].浙江万里学院学报,2010,23(4):58-61. |
| |
| 作者姓名： | 何文平 周杰荣 |
| |
| 作者单位： | 炮兵学院南京分院基础部,江苏,南京,211132 |
| |
| 摘 要： | 研究了一类带有非线性边界条件的二阶非线性抛物方程正解的性质。利用比较原理，得到该方程的解整体存在的条件，利用数学分析的方法，得到该方程的解的爆破的条件。
|
| 关 键 词： | 抛物方程 爆破与整体存在 比较原理 |
Qualitative Properties of the Solutions to a Second Order Nonlinear Parabolic Equation |
| |
| HE Wen-ping,ZHOU Jie-rong.Qualitative Properties of the Solutions to a Second Order Nonlinear Parabolic Equation[J].Journal of Zhejiang Wanli University,2010,23(4):58-61. |
| |
| Authors: | HE Wen-ping ZHOU Jie-rong |
| |
| Institution: | (The Basic subjects Department of Nanjing Aritillery Academy, Nanjing Jiangsu 211132) |
| |
| Abstract: | In this paper, the properties of the positive solutions to a second order nonlinear parabolic equation have been studied. Using the comparison principle, we have acquired the conditions for the existence of global solutions. By using the method of mathematics analysis, we have obtained the conditions for blow-up of solutions. |
| |
| Keywords: | parabolic equation blow up and global existence comparison principle |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
