Singular p-Laplacian parabolic system in exterior domains: higher regularity of solutions and related properties of extinction and asymptotic behavior in time
Francesca Crispo, Grisanti Carlo Romano, Paolo Maremonti · CINECA IRIS Institutial research information system (University of Pisa) · 2019
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).