2 papers
math.AP2018
Lower semicontinuous obstacles for the porous medium equation
Riikka Korte, Pekka Lehtelä, Stefan Sturm
We deal with the obstacle problem for the porous medium equation in the slow diffusion regime . Our main interest is to treat fairly irregular obstacles assuming only boundedn…
math.AP2018
Regularity of weak solutions and supersolutions to the porous medium equation
Verena Bögelein, Pekka Lehtelä, Stefan Sturm
We study the relations between different regularity assumptions in the definition of weak solutions and supersolutions to the porous medium equation. In particular, we establish th…