Blow-up for a Degenerate and Singular Parabolic System with Nonlocal Sources and Absorptions
نویسندگان
چکیده
Abstract This paper deals with the blow-up properties of the solution to the degenerate and singular parabolic system with nonlocal sources, absorptions and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution to exist globally or blow up in finite time are obtained. Furthermore, under certain conditions it is proved that the blow-up set of the solution is the whole domain.
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