Abstract
In this paper, we investigate positive solutions of the strongly coupled degenerate parabolic system with localized sources u t = v p ( Δ u + a f ( u ( x 0 , t ) ) ) , v t = u q ( Δ v + b g ( v ( x 0 , t ) ) ) , subject to null Dirichlet boundary conditions. The conditions for global and non-global solutions are determined respectively. Furthermore, it is proved for radial blow-up solutions that the blow-up set consists of the whole domain.
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