Juha Kinnunen, Peter Lindqvist, Teemu Lukkari
Published 2014-01-17, updated 2014-12-02Version 2
This work extends Perron's method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in a general cylindrical domain.
The equivalence of weak and very weak supersolutions to the porous medium equation
Lower semicontinuity of weak supersolutions to the porous medium equation
Hölder estimates for solutions of the Cauchy problem for the porous medium equation with external forces
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