Alessandra Lunardi

activity

20102015

most citedHypercontractivity and asymptotic behaviour in nonautonomous Kolmogorov equations

5 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

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.FA2014

BV functions on convex domains in Wiener spaces

Alessandra Lunardi, Michele Miranda, Diego Pallara

We study functions of bounded variation defined in an abstract Wiener space X, relating the variation of a function u on a convex open set O in X to the behavior near t=0 of T(t)u,…

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★ 1 cited

Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in $R^{d}$

Alessandra Lunardi

We consider a class of second order linear nonautonomous parabolic equations in R^d with time periodic unbounded coefficients. We give sufficient conditions for the evolution opera…

math.AP2010

On the Dirichlet semigroup for Ornstein -- Uhlenbeck operators in subsets of Hilbert spaces

Giuseppe Da Prato, Alessandra Lunardi

We consider a family of self-adjoint Ornstein--Uhlenbeck operators $L_{α}$ in an infinite dimensional Hilbert space H having the same gaussian invariant measure $μ$ for all $α\in [0…