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math.AP2025
Heat content asymptotics for sets with positive reach
Paolo De Fazio, Michele Miranda
In this paper we study the heat content for sets with positive reach. In details, we investigate the asymptotic behavior of the heat content of bounded subsets of the Euclidean spa…
math.AP2025
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…
math.AP2024
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…