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arxiv: 1703.08490 · v2 · pith:4CORA445new · submitted 2017-03-24 · 🧮 math.AP

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

Francesca Crispo , Carlo Romano Grisanti , Paolo Maremonti This is my paper
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keywords domainsexteriorextinctionp-laplacianparabolicpropertiesregularitysystem
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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 \in ( 2n/(n+2) , 2n/(n+1) ) and exponential decay for p= 2n/(n+1) .

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