Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case

We study a generalized class of supersolutions, so-called p -supercaloric functions, to the parabolic p -Laplace equation. This class of functions is defined as lower semicontinuous functions that are finite in a dense set and satisfy the parabolic comparison principle. Their properties are relative...

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Veröffentlicht in:	Nonlinear differential equations and applications 2021-05, Vol.28 (3), Article 33
Hauptverfasser:	Giri, Ratan Kr, Kinnunen, Juha, Moring, Kristian
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Diffusion rate Laplace equation Mathematics Mathematics and Statistics Sobolev space
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