21 citations · 33 across the 14 of their papers we have counts for
8 papers · 1 filter
A Schrödinger operator with confining potential having quadratic growth
Chiara Alessi, Lorenzo Brasco, Michele Miranda
We study the spectral properties of a Schrödinger operator, in presence of a confining potential given by the distance squared from a fixed compact potential well. We prove continu…
Gradient contractivity of a rescaled resolvent on domains in Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
Given an abstract Wiener space , we consider an open set which satisfies certain smoothness and mean-curvature conditions. We prove that the rescaled resolv…
Characterizations of sets of finite perimeter using heat kernels in metric spaces
Niko Marola, Michele Miranda, Nageswari Shanmugalingam
The overarching goal of this paper is to link the notion of sets of finite perimeter (a concept associated with -spaces) and the theory of heat semigroups (a concept relat…
Boundary measures, generalized Gauss-Green formulas, and mean value property in metric measure spaces
Niko Marola, Michele Miranda, Nageswari Shanmugalingam
We study mean value properties of harmonic functions in metric measure spaces. The metric measure spaces we consider have a doubling measure and support a (1,1)- Poincaré inequalit…
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…