Davide Addona

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20162024

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6 papers · 1 filter

math.AP2024

Space Regularity of Evolution Equations Driven by Rough Paths

Davide Addona, Luca Lorenzi, Gianmario Tessitore

In this paper, we consider the linear evolution equation $d y (t) = A y (t) d t + G y (t) d x (t)$ , where $A$ is a closed operator, associated to a semigroup, with good smoothing effects in a Ban…

math.AP2024

Gradient contractivity of a rescaled resolvent on domains in Wiener spaces

Davide Addona, Giorgio Menegatti, Michele Miranda

Given an abstract Wiener space $(X, γ, H)$ , we consider an open set $O \subseteq X$ which satisfies certain smoothness and mean-curvature conditions. We prove that the rescaled resolv…

math.AP2023

$L^{p}$ Maximal regularity for vector-valued Schrödinger operators

Davide Addona, Vincenzo Leone, Luca Lorenzi +1

In this paper we consider the vector-valued Schrödinger operator $- Δ + V$ , where the potential term $V$ is a matrix-valued function whose entries belong to $L^1_{\rm loc}(\mathbb{R}…

math.AP2021

On weakly coupled systems of partial differential equations with different diffusion terms

Davide Addona, Luca Lorenzi

We prove maximal Schauder regularity for solutions to elliptic systems and Cauchy problems, in the space $C_{b} (R^{d}; R^{m})$ of bounded and continuous functions, assoc…

math.AP2016

Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions

Davide Addona

We consider the nonautonomous Ornstein-Uhlenbeck operator in some weighted spaces of continuous functions in $R^{N}$ . We prove sharp uniform estimates for the spatial derivatives of…

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…