L. Angiuli

activity

20102026

most citedGradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains

15 citations · 27 across the 21 of their papers we have counts for

collaborators

23 papers

math.AP2026

Hypercontractivity type property for generalized Mehler semigroups

Luciana Angiuli, Simone Ferrari

We investigate the hypercontractivity property of generalized Mehler semigroups on the $L^{p}$ -scale with respect to invariant measures. This property is first obtained in the purely…

math.AP2025

L^p-quasicontractiveness and Kernel estimates for semigroups generated by systems of elliptic operators

L. Angiuli, E. M. Mangino, L. Lorenzi

This paper focuses on systems of strongly coupled elliptic operators whose coefficients may be unbounded and are defined on a domain $Ω \subseteq R^{d}$ . It is shown that a q…

math.AP2024

Regularity results for elliptic and parabolic systems of partial differential equations

Luciana Angluli, Simone Ferrari, Luca Lorenzi

We study Cauchy problems associated to elliptic operators acting on vector-valued functions and coupled up to the first-order. We prove pointwise estimates for the spatial derivati…

math.AP2023

Strongly coupled Schroedinger operators in L^p(R^d;C^m)

Luciana Angiuli, Luca Lorenzi, Elisabetta Mangino

We consider systems of elliptic equations, possibly coupled up to the second-order, on the L^p(R^d;C^m)-scale. Under suitable assumptions we prove that the minimal realization in L…

math.PR2023

$L^{p}$ - $L^{q}$ estimates for transition semigroups associated to dissipative stochastic systems

Luciana Angiuli, Davide A. Bignamini, Simone Ferrari

In a separable Hilbert space, we study supercontractivity and ultracontractivity properties for a transition semigroups associated with a stochastic partial differential equations.…

math.AP2022

Generation of semigroups associated to strongly coupled elliptic operator in $L^{p} (R^{d}; R^{m})$

Luciana Angiuli, Luca Lorenzi, Elisabetta M. Mangino

A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the second-order is investigated in the Lebesgue space $L^{p} (R^{d}; R^{m})$ with $p…

math.AP2021

Functional inequalities for some generalised Mehler semigroups

L. Angiuli, S. Ferrari, D. Pallara

We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure $σ$ , we prove functional integral inequalities with respect to $σ$ , such as…

math.FA2020★ 3 cited

On functions of bounded variation on convex domains in Hilbert spaces

L. Angiuli, S. Ferrari, D. Pallara

We study functions of bounded variation (and sets of finite perimeter) on a convex open set $Ω \subseteq X$ , $X$ being an infinite dimensional real Hilbert space. We relate the tota…

math.AP2018

On coupled systems of PDEs with unbounded coefficients

Luciana Angiuli, Luca Lorenzi

We study the Cauchy problem associated to parabolic systems of the form $D_{t} u = A (t) u$ in $C_{b} (R^{d}; R^{m})$ , the space o…

math.AP2018★ 15 cited

Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains

Luciana Angiuli, Simone Ferrari, Diego Pallara

Let $X$ be a separable Hilbert space endowed with a non-degenerate centred Gaussian measure $γ$ and let $λ_{1}$ be the maximum eigenvalue of the covariance operator associated with $…

math.AP2017

Invariant measures for systems of Kolmogorov equations

Davide Addona, Luciana Angiuli, Luca Lorenzi

In this paper we provide sufficient conditions which guarantee the existence of a system of invariant measures for semigroups associated to systems of parabolic differential equati…

math.AP2017

On invariant measures associated to weakly coupled systems of Kolmogorov equations

Davide Addona, Luciana Angiuli, Luca Lorenzi

In this paper, we deal with weakly coupled elliptic systems $A$ with unbounded coefficients. We prove the existence and characterize all the systems of invari…

math.AP2017

On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences

Luciana Angiuli, Luca Lorenzi

We consider evolution operators $G (t, s)$ associated to a class of nonautonomous elliptic operators with unbounded coefficients, in the space of bounded and continuous functions ove…

math.AP2016

Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems

Davide Addona, Luciana Angiuli, Luca Lorenzi

We study the Cauchy problem associated to a family of nonautonomous semilinear equations in the space of bounded and continuous functions over R^d and in L^p-spaces with respect to…

math.AP2015

On coupled systems of Kolmogorov equations with applications to stochastic differential games

D. Addona, L. Angiuli, L. Lorenzi +1

We prove that a family of linear bounded evolution operators $(G (t, s))_{t \geq s \in I}$ can be associated, in the space of vector-valued bounded and continuous functions, to a…

math.AP2015

$L^{p}$ -estimates for parabolic systems with unbounded coefficients coupled at zero and first order

Luciana Angiuli, Luca Lorenzi, Diego Pallara

We consider a class of nonautonomous parabolic first-order coupled systems in the Lebesgue space $L^{p} (R^{d}; R^{m})$ , $(d, m \geq 1)$ with $p \in [1, + \infty)$ . Sufficie…

math.AP2015

Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part

Luciana Angiuli, Alessandra Lunardi

We study the Cauchy problem for the semilinear nonautonomous parabolic equation $u_{t} = A (t) u + ψ (t, u)$ in $[s, τ] \times R^{d}$ , $τ > s$ , in the spaces $C_b([s, τ]\ti…

math.AP2014★ 2 cited

Non autonomous parabolic problems with unbounded coefficients in unbounded domains

Luciana Angiuli, Luca Lorenzi

Given a class of nonautonomous elliptic operators $\A(t)$ with unbounded coefficients, defined in $\overline{I \times \Om}$ (where $I$ is a right-halfline or $I = R$ and $\Om\subset…

math.AP2013★ 1 cited

On the Dirichlet and Neumann evolution operators in R^d_+

Luciana Angiuli, Luca Lorenzi

We prove some uniform and pointwise gradient estimates for the Dirichlet and the Neumann evolution operators $G_{D} (t, s)$ and $G_{N} (t, s)$ associated with a cla…

math.AP2013★ 1 cited

On the gradient estimates for evolution operators associated to Kolmogorov operators

Luciana Angiuli

We determine sufficient conditions for the occurrence of a pointwise gradient estimate for the evolution operators associated to nonautonomous second order parabolic operators with…

math.AP2012

On improvement of summability properties in nonautonomous Kolmogorov equations

Luciana Angiuli, Luca Lorenzi

Under suitable conditions, we obtain some characterization of supercontractivity, ultraboundedness and ultracontractivity of the evolution operator $G (t, s)$ associated to a class o…

math.AP2012★ 5 cited

Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations

L. Angiuli, L. Lorenzi, A. Lunardi

We consider a class of nonautonomous second order parabolic equations with unbounded coefficients defined in $I \times R^{d}$ , where $I$ is a right-halfline. We prove logarithmic Sobo…

math.AP2010

Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients

Luciana Angiuli, Luca Lorenzi

In this paper we consider nonautonomous elliptic operators $A$ with nontrivial potential term defined in $I \times R^{d}$ , where $I$ is a right-halfline (possibly $I…

Hypercontractivity type property for generalized Mehler semigroups

L^p-quasicontractiveness and Kernel estimates for semigroups generated by systems of elliptic operators

Regularity results for elliptic and parabolic systems of partial differential equations

Strongly coupled Schroedinger operators in L^p(R^d;C^m)

Lp-Lq estimates for transition semigroups associated to dissipative stochastic systems

Generation of semigroups associated to strongly coupled elliptic operator in Lp(Rd;Rm)

Functional inequalities for some generalised Mehler semigroups

On functions of bounded variation on convex domains in Hilbert spaces

On coupled systems of PDEs with unbounded coefficients

Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite dimensional convex domains

Invariant measures for systems of Kolmogorov equations

On invariant measures associated to weakly coupled systems of Kolmogorov equations

On the estimates of the derivatives of solutions to nonautonomous Kolmogorov equations and their consequences

Hypercontractivity, supercontractivity, ultraboundedness and stability in semilinear problems

On coupled systems of Kolmogorov equations with applications to stochastic differential games

Lp-estimates for parabolic systems with unbounded coefficients coupled at zero and first order

Semilinear nonautonomous parabolic equations with unbounded coefficients in the linear part

Non autonomous parabolic problems with unbounded coefficients in unbounded domains

On the Dirichlet and Neumann evolution operators in R^d_+

On the gradient estimates for evolution operators associated to Kolmogorov operators

On improvement of summability properties in nonautonomous Kolmogorov equations

Hypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations

Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients

$L^{p}$ - $L^{q}$ estimates for transition semigroups associated to dissipative stochastic systems

Generation of semigroups associated to strongly coupled elliptic operator in $L^{p} (R^{d}; R^{m})$

$L^{p}$ -estimates for parabolic systems with unbounded coefficients coupled at zero and first order