| 摘要: |
| 一类含梯度项的奇异抛物方程在文中得到了讨论. 在某些特定条件下，通过抛物正则化方法及上下解方法, 作者获得该类方程的非负古典解的存在性. |
| 关键词: 存在性 奇异抛物方程 径向解 |
| DOI： |
| 分类号:O175.26 |
| 基金项目:国家自然科学基金资助项目(11201311, 11301345)；四川省教育厅一般项目（15ZB0473） |
|
| Nonnegative classical solutions for some singular parabolic equations |
|
Xia Li1，Zhang Yuanyuan21,2
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1. School of Mathematics and Statistics , Guangdong University of Finance and Economics, Guangzhou 510320, China;2. School of Securities and Futures, Southwestern University of Finance and Economics, Chengdu 611130, China
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| Abstract: |
| Some singular parabolic equations with gradient term were discussed. Under certain conditions, existence of nonnegative classical solutions for the equations was obtained by parabolic regularization method and sub-super solution method. |
| Key words: existence singular parabolic equation radial solution |
