53 citations · 84 across the 6 of their papers we have counts for
3 papers · 1 filter
Higher integrability for the singular porous medium system
Verena Bögelein, Frank Duzaar, Christoph Scheven
In this paper we establish in the fast diffusion range the higher integrability of the spatial gradient of weak solutions to porous medium systems. The result comes along with an e…
Higher integrability for doubly nonlinear parabolic systems
Verena Bögelein, Frank Duzaar, Juha Kinnunen +1
This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the…
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…