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math.AP2022
Gradient higher integrability for degenerate parabolic double-phase systems
Wontae Kim, Juha Kinnunen, Kristian Moring
We prove local higher integrability of the gradient of a weak solution to a degenerate parabolic double-phase system. This result comes with a reverse Hölder type estimate for the…
math.AP2022
On the Hölder regularity for obstacle problems to porous medium type equations
Kristian Moring, Leah Schätzler
We show that signed weak solutions to parabolic obstacle problems with porous medium type structure are locally Hölder continuous, provided that the obstacle is Hölder continuous.