Open Access

Blowup for degenerate and singular parabolic system with nonlocal source

Boundary Value Problems20062006:21830

DOI: 10.1155/BVP/2006/21830

Received: 23 January 2006

Accepted: 7 April 2006

Published: 13 August 2006


We deal with the blowup properties of the solution to the degenerate and singular parabolic system with nonlocal source and homogeneous Dirichlet boundary conditions. The existence of a unique classical nonnegative solution is established and the sufficient conditions for the solution that exists globally or blows up in finite time are obtained. Furthermore, under certain conditions it is proved that the blowup set of the solution is the whole domain.


Authors’ Affiliations

Department of Mathematics, Sichuan University


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© Zhou et al. 2006

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