Acta mathematica scientia, Series B >
EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SINGULAR PARABOLIC EQUATION
Received date: 2011-03-01
Revised date: 2011-07-13
Online published: 2012-09-20
Supported by
Supported by Natural Science Foundation of Youth and Tianyuan (11001177, 11026156, 10926141) and Startup Program of Shenzhen University.
In this paper, we study the initial-boundary value problem for a class of sin-gular parabolic equations. Under some conditions, we obtain the existence and asymptotic behavior of solutions to the problem by parabolic regularization method and the sub-super solutions method. As a byproduct, we prove the existence of solutions to some problems with gradient terms, which blow up on the boundary.
Key words： existence; singular parabolic equation; asymptotic behavior
XIA Li , LI Jing-Na , YAO Zheng-An . EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A SINGULAR PARABOLIC EQUATION[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 1875 -1882 . DOI: 10.1016/S0252-9602(12)60146-5
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