Acta mathematica scientia, Series B >
EXISTENCE OF WEAK SOLUTIONS FOR SOME SINGULAR PARABOLIC EQUATION
Received date: 2015-06-25
Revised date: 2016-05-09
Online published: 2016-12-25
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).
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.
Key words： existence; singular equation; blowup
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 . DOI: 10.1016/S0252-9602(16)30097-2
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