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Zbl 1124.35032
Li, Fucai
Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system. (English)
[J] Nonlinear Anal., Theory Methods Appl. 67, No. 5, A, 1387-1402 (2007). ISSN 0362-546X

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 $\Omega\subset {\Bbb R}^N$ $(N\geq 1).$ 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.
[Lubomira Softova (Bari)]

MSC 2000:: *35K65 Parabolic equations of degenerate type
35K50 Systems of parabolic equations, boundary value problems
35K57 Reaction-diffusion equations
35A07 Local existence and uniqueness theorems (PDE)

Keywords: nonlinear source; zero Dirichlet boundary conditions

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