EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION

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

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Bibliographic Details
Published inActa mathematica scientia Vol. 36; no. 6; pp. 1651 - 1661
Main Author 夏莉 李敬娜 刘强
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2016
College of Mathematics and Statistics, Guangdong University of Economics and Finance, Guangzhou 510320, China%Department of Mathematics, Jinan University, Guangzhou 510632, China%College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, China
Subjects
35K15
35K20
blowup
Dirichlet边界条件
existence
singular equation
分解方法
奇异抛物方程
正则化方法
解的存在性
35K20
existence
singular equation
35K15
blowup
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Summary:In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on μ, v and ψ, some existence results are obtained by applying parabolic regularization method and the sub-super solutions method.
Bibliography:In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on μ, v and ψ, some existence results are obtained by applying parabolic regularization method and the sub-super solutions method.
42-1227/O
existence; singular equation; blowup
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30097-2