2 papers
math.AP2016
The equivalence of weak and very weak supersolutions to the porous medium equation
Pekka Lehtelä, Teemu Lukkari
We prove that various notions of supersolutions to the porous medium equation are equivalent under suitable conditions. More spesifically, we consider weak supersolutions, very wea…
math.AP2012
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
Juha Kinnunen, Teemu Lukkari, Mikko Parviainen
We prove that arbitrary superharmonic functions and superparabolic functions related to the -Laplace and the -parabolic equations are locally obtained as limits of supersolut…