| 一类含有梯度项的奇异抛物方程古典解的存在性 |
| |
| 引用本文： | 夏莉,李敬娜.一类含有梯度项的奇异抛物方程古典解的存在性[J].华南师范大学学报(自然科学版),2013,45(1):0-0. |
| |
| 作者姓名： | 夏莉 李敬娜 |
| |
| 作者单位： | 1.1.深圳大学数学与计算科学学院 |
| |
| 基金项目： | 国家自然科学基金数学天元青年基金项目(11026156) |
| |
| 摘 要： | 研究了一类含有梯度项的奇异型抛物方程. 在一定条件下, 通过抛物正则化方法及上下解方法, 获得了该问题的古典解, 证明了这个解在边界点处的一阶导数为0. 而且,证明了某些奇异问题古典径向解的存在性.
|
| 关 键 词： | 奇异抛物方程 存在性 径向解 |
| 收稿时间： | 2011-12-11 |
Existence of Classical Solutions for a Class of Parabolic Equations with Gradient Terms |
| |
| XIA Li
,
LI Jingna.Existence of Classical Solutions for a Class of Parabolic Equations with Gradient Terms[J].Journal of South China Normal University(Natural Science Edition),2013,45(1):0-0. |
| |
| Authors: | XIA Li LI Jingna |
| |
| Institution: | 1.College of Mathematics and Computational Science,Shenzhen University,Shenzhen 518060,China; 2.Department of Mathematics,Jinan University,Guangzhou 510632,China) |
| |
| Abstract: | The initial-boundary value problem for a class of singular parabolic equations is discussed. Under some conditions, classical solutions for the problem by parabolic regularization method and sub-super solution method showing that the first derivatives of solutions are zero on the boundary are obtained. Moreover, the existence of classical radial solutions for some singular parabolic problems is proved. |
| |
| Keywords: | |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《华南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《华南师范大学学报(自然科学版)》下载免费的PDF全文 |
|
