Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664117 | Acta Mathematica Scientia | 2012 | 8 Pages |
Abstract
In this paper, we study the initial-boundary value problem for a class of singular 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.
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Mathematics
Mathematics (General)