22 citations · 51 across the 20 of their papers we have counts for
4 papers · 1 filter
Deterministic control of SDEs with stochastic drift and multiplicative noise: a variational approach
Giacomo Ascione, Giuseppe D'Onofrio
We consider a linear stochastic differential equation with stochastic drift and multiplicative noise. We study the problem of approximating its solution with the process that solve…
A matrix Harnack inequality for semilinear heat equations
Giacomo Ascione, Daniele Castorina, Giovanni Catino +1
We derive a matrix version of Li \& Yau--type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional curvatures and parall…
Bulk behaviour of ground states for relativistic Schrödinger operators with compactly supported potentials
Giacomo Ascione, József Lőrinczi
We propose a probabilistic representation of the ground states of massive and massless Schrödinger operators with a potential well in which the behaviour inside the well is describ…
A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem
Giacomo Ascione
We prove the stability of the ball as global minimizer of an attractive shape functional under volume constraint, by means of mass transportation arguments. The stability exponent…