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.
Saved in:
Published in | Acta mathematica scientia Vol. 36; no. 6; pp. 1651 - 1661 |
---|---|
Main Author | |
Format | Journal Article |
Language | English |
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 | |
Online Access | Get full text |
Cover
Loading…
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 |