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Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system. (English) Zbl 1124.35032
The paper studies the properties of nonnegative solutions of a kind of a quasilinear degenerate parabolic system with zero Dirichlet boundary conditions in a smooth bounded domain Ω N (N1)· Under appropriate hypotheses it is established the local existence and uniqueness of solutions, then there are shown conditions under which the solution blows up in finite time.
MSC:
35K65Parabolic equations of degenerate type
35K50Systems of parabolic equations, boundary value problems (MSC2000)
35K57Reaction-diffusion equations
35A07Local existence and uniqueness theorems (PDE) (MSC2000)