most citedGlobal higher integrability for parabolic quasiminimizers in metric spaces

2 citations · 2 across the 4 of their papers we have counts for

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4 papers

math.AP2013★ 2 cited

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…

math.AP2013

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…

math.AP2013

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…

math.AP2012

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 -…