Article ID Journal Published Year Pages File Type
4664117 Acta Mathematica Scientia 2012 8 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)