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- W2296564290 abstract "We prove that various notions of supersolutions to the porous medium equation are equivalent under suitable conditions. More spesifically, we consider weak supersolutions, very weak supersolutions, and $m$-superporous functions defined via a comparison principle. The proofs are based on comparison principles and a Schwarz type alternating method, which are also interesting in their own right. Along the way, we show that Perron solutions with merely continuous boundary values are continuous up to the parabolic boundary of a sufficiently smooth space-time cylinder." @default.
- W2296564290 created "2016-06-24" @default.
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- W2296564290 date "2016-03-11" @default.
- W2296564290 modified "2023-09-27" @default.
- W2296564290 title "The equivalence of weak and very weak supersolutions to the porous medium equation" @default.
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