| 一类二阶偏微分方程初值问题粘性解的唯一性 |
| |
| 引用本文： | 刘长河,郇中丹,童明生.一类二阶偏微分方程初值问题粘性解的唯一性[J].北京理工大学学报(英文版),1998,7(1):6-11. |
| |
| 作者姓名： | 刘长河 郇中丹 童明生 |
| |
| 作者单位： | 北京理工大学材料科学研究中心(刘长河)，北京师范大学数学系(郇中丹)，北京理工大学计算中心(童明生) |
| |
| 摘 要： | 目的证明一类二阶椭圆型偏微分方程的初值问题：的粘性解的唯一性．方法利用比较原理．结果与结论如果ｕ０是ＲＮ上的一致连续函数，Ｆ是Ｒｎｘ（Ｎ）上的连续函数并且下是退化椭圆的，则该方程有唯一的粘性解．
|
| 关 键 词： | 粘性解 退化椭圆性：解的唯一性 |
Uniqueness of the Viscosity Solutions for the Initial Value Problem of One Type of Second Order Partial Differential Equation |
| |
| Liu Changhe,Huan Zhongdan and Tong Mingsheng.Uniqueness of the Viscosity Solutions for the Initial Value Problem of One Type of Second Order Partial Differential Equation[J].Journal of Beijing Institute of Technology,1998,7(1):6-11. |
| |
| Authors: | Liu Changhe Huan Zhongdan and Tong Mingsheng |
| |
| Affiliation: | Center for Research on Materials Science,Beijing Institute of Technology, Beijing 100081;Department of Mathematics, Beijing Normal University, Beijing 100875;Computing Center, Beijing Institute of Technology, Beijing 100081 |
| |
| Abstract: | Aim To prove the uniqueness of the viscosity solutions for the initial value problems of one type of second order parabolic partial differential equations: Methods Using comparison theorem. Results and Conclusion If u0 is uniform continuousfunction in RN , F is continuous function in RNx(N) and F is degenerate elliptic, then thisequation has the sole viscosity solution. |
| |
| Keywords: | viscosity solution degenerate ellipticity the uniqueness of the solutions |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《北京理工大学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《北京理工大学学报(英文版)》下载全文 |
