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| 一类奇异抛物方程最大弱解的存在性 | |
| 引用本文： | 夏莉,李敬娜,姚正安.一类奇异抛物方程最大弱解的存在性[J].兰州大学学报(自然科学版),2012,48(3):99-102. |
| 作者姓名： | 夏莉 李敬娜 姚正安 |
| 作者单位： | 1. 深圳大学数学与计算科学学院,深圳,518060 2. 暨南大学数学系,广州,510632 3. 中山大学数学与计算科学学院,广州,510275 |
| 基金项目： | 国家自然科学基金数学天元青年基金，深圳大学博士启动项目 |
| 摘 要： | 研究了具有奇性的一类抛物方程的初边值问题.在较弱条件下,通过抛物正则化方法证明了此问题存在一个弱解,而且证明了这个弱解还是最大弱解. |
| 关 键 词： | 奇异抛物方程 存在性 弱解 |
Existence of the maximal weak solution for a class of singular parabolic equations |
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| XIA Li , LI Jing-na , YAO Zheng-an.Existence of the maximal weak solution for a class of singular parabolic equations[J].Journal of Lanzhou University(Natural Science),2012,48(3):99-102. | |
| Authors: | XIA Li LI Jing-na YAO Zheng-an |
| Institution: | 1.College of Mathematics and Computational Science,Shenzhen University,Shenzhen 518060,China 2.Department of Mathematics,Jinan University,Guangzhou 510632,China 3.School of Mathematics and Computational Science,Sun-Yat Sen University,Guangzhou 510275,China |
| Abstract: | The initial-boundary value problem for a class of singular parabolic equations was studies and,under some additional conditions,it was proved by parabolic regularization that there existed a weak solution to the problem.Moreover,it was shown that the solution obtained by parabolic regularization was the maximal of all the weak solutions. |
| Keywords: | singular parabolic equation existence weak solution |
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