25 citations · 78 across the 16 of their papers we have counts for
13 papers · 1 filter
Schauder theorems for a class of (pseudo-)differential operators on finite and infinite dimensional state spaces
Alessandra Lunardi, Michael Röckner
We prove maximal regularity results in Hölder and Zygmund spaces for linear stationary and evolution equations driven by a large class of differential and pseudo-differential opera…
Schauder theorems for Ornstein-Uhlenbeck equations in infinite dimension
Sandra Cerrai, Alessandra Lunardi
We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gau…
Strong convergence of solutions to nonautonomous Kolmogorov equations
Luca Lorenzi, Alessandra Lunardi, Roland Schnaubelt
We study a class of nonautonomous, linear, parabolic equations with unbounded coefficients on which admit an evolution system of measures. It is shown that the solu…
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 in , , in the spaces $C_b([s, τ]\ti…
Maximal Sobolev regularity in Neumann problems for gradient systems in infinite dimensional domains
Giuseppe Da Prato, Alessandra Lunardi
We consider an elliptic Kolmogorov equation lambda u - Ku =f in a convex subset C of a separable Hilbert space X. We prove maximal Sobolev regularity of its weak solution, when lam…
Traces of Sobolev functions on regular surfaces in infinite dimensions
Pietro Celada, Alessandra Lunardi
In a Banach space endowed with a nondegenerate Gaussian measure, we consider Sobolev spaces of real functions defined in a sublevel set of a Sobolev n…
Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
Giuseppe Da Prato, Alessandra Lunardi
We consider an elliptic Kolmogorov equation in a separable Hilbert space . The Kolmogorov operator is associated to an infinite dimensional convex gradient sys…
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 , where is a right-halfline. We prove logarithmic Sobo…
Maximal regularity for Dirichlet problems in Hilbert spaces
Giuseppe Da Prato, Alessandra Lunardi
We consider the Dirichlet problem in \mathcal{O}, U=0 on . Here where is a nondegenerate centered Gaus…
Compactness and asymptotic behavior in nonautonomous linear parabolic equations with unbounded coefficients in
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…
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 in an infinite dimensional Hilbert space H having the same gaussian invariant measure for all $α\in [0…
Asymptotic behavior and hypercontractivity in nonautonomous Ornstein-Uhlenbeck equations
Matthias Geissert, Alessandra Lunardi
In this paper we investigate a class of nonautonomous linear parabolic problems with time depending Ornstein-Uhlenbeck operators. We study the asymptotic behavior of the associated…
Invariant Measures and Maximal L^2 Regularity for Nonautonomous Ornstein-Uhlenbeck Equations
Matthias Geissert, Alessandra Lunardi
We characterize the domain of the realization of the linear parabolic operator Gu := u_t + L(t)u (where, for each real t, L(t) is an Ornstein-Uhlenbeck operator), in L^2 spaces wit…