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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…
An introduction to functions in Wiener spaces
M. Miranda, M. Novaga, D. Pallara
We present the foundations of the theory of functions of bounded variation and sets of finite perimeter in abstract Wiener spaces.
Two characterization of BV functions on Carnot groups via the heat semigroup
Marco Bramanti, Michele Miranda, Diego Pallara
In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclide…