46 citations · 162 across the 32 of their papers we have counts for
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math.AP2018★ 28 cited
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…
math.AP2018
Supercaloric functions for the porous medium equation
Juha Kinnunen, Pekka Lehtelä, Peter Lindqvist +1
In the slow diffusion case unbounded supersolutions of the porous medium equation are of two totally different types, depending on whether the pressure is locally integrable or not…