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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…