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We consider the IBVP in exterior domains for the p-Laplacian parabolic system. We prove regularity up to the boundary, extinction properties for p ∈ (2n/(n+2) , 2n/(n+1))   and exponential decay for p= 2n/(n+1)

annali della scuola normale superiore di pisa. classe di scienze

Singular p-Laplacian parabolic system in exterior domains: higher regularity of solutions and related properties of extinction and asymptotic behavior in time