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