| THE FIRST BOUNDARY VALUE PROBLEM FOR QUASILINEAR DEGENERATE PARABOLIC EQUATIONS OF SECOND ORDER IN SEVERAL SPACE VARIABLES |
| |
| 引用本文： | WuZhouqun,Zhao Junning. THE FIRST BOUNDARY VALUE PROBLEM FOR QUASILINEAR DEGENERATE PARABOLIC EQUATIONS OF SECOND ORDER IN SEVERAL SPACE VARIABLES[J]. 数学年刊B辑(英文版), 1983, 4(1): 57-76 |
| |
| 作者姓名： | WuZhouqun Zhao Junning |
| |
| 作者单位： | Jilin University，Jilin University |
| |
| 摘 要： | In this paper,we study the first boundary value problem for quasilinear equations ofthe formUnder certain conditions,the existence of generalized solutions in BV is proved by meansof the method of parabolic regularization.To do this,we need some estimates on the family{u_ε}of solutions of regularized problems and the most difficult step is to estimate|grad u_ε|L~(1+)In addition,some results on the uniqueness and stability of generalized solutions areestablished.
|
| 收稿时间： | 1981-03-23 |
THE FIRST BOUNDARY VALUE PROBLEM FOR QUASILINEAR DEGENERATE PARABOLIC EQUATIONS OF SECOND ORDER IN SEVERALSPACE VARIABLES |
| |
| WuZhouqun and Zhao Junning. THE FIRST BOUNDARY VALUE PROBLEM FOR QUASILINEAR DEGENERATE PARABOLIC EQUATIONS OF SECOND ORDER IN SEVERALSPACE VARIABLES[J]. Chinese Annals of Mathematics,Series B, 1983, 4(1): 57-76 |
| |
| Authors: | WuZhouqun and Zhao Junning |
| |
| Affiliation: | Jilin University and Jilin University |
| |
| Abstract: | |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学年刊B辑(英文版)》下载全文 |
