The conditions for blow-up and global existence of solution for a degenerate and singular parabolic equation with a non-local source
Abstract
In this paper, we consider the degenerate and singular porous medium equation with a non-local source 
The conditions on the local and global existence of solutions are investigated. In the case of blow-up, the blow-up set is shown. Moreover, the uniform blow-up profile of the blow-up solution is given.
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