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 \(\Omega\subset {\mathbb R}^N\) \((N\geq 1).\) 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.


35K65 Degenerate parabolic equations
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K57 Reaction-diffusion equations
35A07 Local existence and uniqueness theorems (PDE) (MSC2000)
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