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

2017/03/24 by Francesca Crispo, Crispo, Francesca, Carlo R. Grisanti +3
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1703.08490

Abstract

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

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