G. Cappa

activity

20142022

most citedMaximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure

19 citations · 40 across the 5 of their papers we have counts for

collaborators

7 papers

math.OC2022

HJB equations and stochastic control on half-spaces of Hilbert spaces

Alessandro Calvia, Gianluca Cappa, Fausto Gozzi +1

In this paper we study a first extension of the theory of mild solutions for HJB equations in Hilbert spaces to the case when the domain is not the whole space. More precisely, we…

math.FA2021★ 2 cited

Regarding the domain of non-symmetric and, possibly, degenerate Ornstein--Uhlenbeck operators in separable Banach spaces

D. Addona, G. Cappa, S. Ferrari

Let $X$ be a separable Banach space and let $Q : X^{*} \to X$ be a linear, bounded, non-negative and symmetric operator and let $A : D (A) \subseteq X \to X$ be the infinites…

math.AP2016★ 16 cited

Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case

G. Cappa, S. Ferrari

Let $X$ be a separable Banach space endowed with a non-degenerate centered Gaussian measure $μ$ . The associated Cameron--Martin space is denoted by $H$ . Consider two sufficiently r…

math.AP2016★ 19 cited

Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure

Gianluca Cappa, Simone Ferrari

Let $X$ be a separable Banach space endowed with a non-degenerate centered Gaussian measure $μ$ . The associated Cameron-Martin space is denoted by $H$ . Let $ν = e^{- U} μ$ , where $e^{-…

math.AP2015

Maximal $L^{2}$ regularity for Ornstein-Uhlenbeck equation in convex sets of Banach spaces

Gianluca Cappa

We study the elliptic equation $λ u - L^{Ω} u = f$ in an open convex subset $Ω$ of an infinite dimensional separable Banach space $X$ endowed with a centered non-degenerate Gaussian measur…

math.AP2015★ 3 cited

On the Ornstein-Uhlenbeck operator in convex sets of Banach spaces

Gianluca Cappa

We study the Ornstein-Uhlenbeck operator and the Ornstein-Uhlenbeck semigroup in an open convex subset of an infinite dimensional separable Banach space $X$ . This is done by finite…

math.AP2014

Non radial solutions for non homogeneous Hénon equation

Marino Badiale, Gianluca Cappa

In this paper we study a Hénon-like equation (see equations (1) below), where the nonlinearity f(t) is not homogeneous (i.e., it is not a power). By minimization on the Nehari mani…