15 citations · 15 across the 4 of their papers we have counts for
5 papers
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 Sobolev spaces on sublevel sets in abstract Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In this paper we consider an abstract Wiener space and an open subset which satisfies suitable assumptions. For every we define the Sobol…
Characterization of BV functions on open domains: the Gaussian case and the general case
Davide Addona, Giorgio Menegatti, Michele Miranda
We provide three different characterizations of the space of the functions of bounded variation with respect to a centred non-degenerate Gaussian measure on open dom…
On integration by parts formula on open convex sets in Wiener spaces
Davide Addona, Giorgio Menegatti, Michele Miranda
In Euclidean space, it is well known that any integration by parts formula for a set of finite perimeter is expressed by the integration with respect to a measure …
Stability for the acoustic scattering problem for sound-hard scatterers
Giorgio Menegatti, Luca Rondi
We study the stability for the direct acoustic scattering problem with sound-hard scatterers with minimal regularity assumptions on the scatterers. The main tool we use for this pu…