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Blowup for degenerate and singular parabolic system with nonlocal source
Boundary Value Problems volume 2006, Article number: 21830 (2006)
Abstract
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.
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Zhou, J., Mu, C. & Li, Z. Blowup for degenerate and singular parabolic system with nonlocal source. Bound Value Probl 2006, 21830 (2006). https://doi.org/10.1155/BVP/2006/21830
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DOI: https://doi.org/10.1155/BVP/2006/21830