18 citations · 20 across the 5 of their papers we have counts for
5 papers
Global higher integrability for parabolic quasiminimizers in metric spaces
Mathias Masson, Mikko Parviainen
We prove higher integrability up to the boundary for minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces, related to the heat equation. We assume t…
Local higher integrability for parabolic quasiminimizers in metric spaces
Mathias Masson, Michele Miranda, Fabio Paronetto +1
Using variational methods, we prove local higher integrability for the minimal p-weak upper gradients of parabolic quasiminimizers in metric measure spaces. We assume the measure t…
Parabolic comparison principle and quasiminimizers in metric measure spaces
Juha Kinnunen, Mathias Masson
We give several characterizations of parabolic (quasisuper)- minimizers in a metric measure space equipped with a doubling measure and supporting a Poincaré inequality. We also pro…
On the Harnack inequality for parabolic minimizers in metric measure spaces
Niko Marola, Mathias Masson
In this note we consider problems related to parabolic partial differential equations in geodesic metric measure spaces, that are equipped with a doubling measure and a Poincaré in…
Hölder regularity for parabolic De Giorgi classes in metric measure spaces
Mathias Masson, Juhana Siljander
We give a proof for the Hölder continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak -…