EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

doi:10.1016/S0252-9602(16)30097-2

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1651-1661.doi: 10.1016/S0252-9602(16)30097-2

EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

夏莉¹, 李敬娜², 刘强³

1. College of Mathematics and Statistics, Guangdong University of Economics and Finance, Guangzhou 510320, China;
2. Department of Mathematics, Jinan University, Guangzhou 510632, China;
3. College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

收稿日期:2015-06-25 修回日期:2016-05-09 出版日期:2016-12-25 发布日期:2016-12-25
通讯作者: Qiang LIU,E-mail:matliu@126.com E-mail:matliu@126.com
作者简介:Li XIA,E-mail:xaleysherry@163.com;Jingna LI,E-mail:jingna8005@hotmail.com
基金资助:
This work was partially supported by NSFC (11201311, 11201181, 11301345), NSF of Guangdong Province (2015A030313623, 2016A030313048), Department of Education of Guangdong Province (YQ2015077, YQ2015020) and Shenzhen supporting scheme (ZYC201105130121A).

EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

Li XIA¹, Jingna LI², Qiang LIU³

1. College of Mathematics and Statistics, Guangdong University of Economics and Finance, Guangzhou 510320, China;
2. Department of Mathematics, Jinan University, Guangzhou 510632, China;
3. College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China

Received:2015-06-25 Revised:2016-05-09 Online:2016-12-25 Published:2016-12-25
Contact: Qiang LIU,E-mail:matliu@126.com E-mail:matliu@126.com
Supported by:
This work was partially supported by NSFC (11201311, 11201181, 11301345), NSF of Guangdong Province (2015A030313623, 2016A030313048), Department of Education of Guangdong Province (YQ2015077, YQ2015020) and Shenzhen supporting scheme (ZYC201105130121A).

摘要/Abstract

摘要：

In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on μ, ν and ψ, some existence results are obtained by applying parabolic regularization method and the sub-super solutions method.

关键词: existence, singular equation, blowup

Abstract:

Key words: existence, singular equation, blowup

中图分类号:

35K15

夏莉, 李敬娜, 刘强. EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION[J]. 数学物理学报(英文版), 2016, 36(6): 1651-1661.

Li XIA, Jingna LI, Qiang LIU. EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1651-1661.

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EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

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