| 具非线性边界条件的拟线性抛物型方程解的Blow-up |
| |
| 引用本文： | 张海亮,贾新春.具非线性边界条件的拟线性抛物型方程解的Blow-up[J].数学杂志,2002,22(2):195-198. |
| |
| 作者姓名： | 张海亮 贾新春 |
| |
| 作者单位： | 西安交通大学应用数学系,西安,430072 |
| |
| 基金项目： | 山西省青年科学基金资助项目 (9910 0 2 ) |
| |
| 摘 要： | 本文考虑一类具非线性边界条件的拟线性抛物方程初边值问题解的整体性态 .通过构造与解有关的适当积分 ,利用“凸性方法”及非线性抛物型方程的极大值原理 ,证明了在某些条件下 ,问题的光滑解u(x ,t)只能在一个有界区间 (0 ,T0 )中存在 ,即有 :limt→T-0sup‖u(· ,t)‖ ∞ =+∞ .
|
| 关 键 词： | 拟线性抛物型方程 非线性边界条件 凸性方法 Blow－up 最大值原理 |
| 文章编号： | 0255-7797(2002)02-0195-04 |
ON BLOW-UP OF SOLUTIONS FOR QUASILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS |
| |
| ZHANG Hai-liang,JIA Xin-chun.ON BLOW-UP OF SOLUTIONS FOR QUASILINEAR PARABOLIC EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS[J].Journal of Mathematics,2002,22(2):195-198. |
| |
| Authors: | ZHANG Hai-liang JIA Xin-chun |
| |
| Abstract: | This paper, by convexity method and maximum principle, concerns the problem on blow-up of the solutions for a class of nonlinear parablic equations with nonlinear oundary conditiuns, and obtained some nonexitence theorems of global solutions and the bounds of "Blow-up time" T. |
| |
| Keywords: | quasilinear parabolic equation nonlinear boundary condition blow-up convexity method maximum principles |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
