1 citations · 1 across the 13 of their papers we have counts for
13 papers
Bounded -calculus for vectorial-valued operators with Gaussian kernel estimates
Davide Addona, Vincenzo Leone, Luca Lorenzi +1
We prove that the vector-valued generator of a bounded holomorphic semigroup represented by a kernel satisfying Gaussian estimates with bounded -calculus in $L^2(\mathbb…
Kernel estimates for parabolic systems of partial differential equations with unbounded coefficients
Davide Addona, Luca Lorenzi, Marianna Porfido
We provide pointwise upper bounds for the transition kernels of semigroups associated with a class of systems of nondegenerate elliptic partial differential equations with unbounde…
Space Regularity of Evolution Equations Driven by Rough Paths
Davide Addona, Luca Lorenzi, Gianmario Tessitore
In this paper, we consider the linear evolution equation , where is a closed operator, associated to a semigroup, with good smoothing effects in a Ban…
Maximal regularity for vector-valued Schrödinger operators
Davide Addona, Vincenzo Leone, Luca Lorenzi +1
In this paper we consider the vector-valued Schrödinger operator , where the potential term is a matrix-valued function whose entries belong to $L^1_{\rm loc}(\mathbb{R}…
Young equations with singularities
D. Addona, L. Lorenzi, G. Tessitore
In this paper we prove existence and uniqueness of a mild solution to the Young equation , , . Here, is an unbounded operator whi…
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 of bounded and continuous functions, assoc…
Regularity results for non-linear Young equations and applications
Davide Addona, Luca Lorenzi, Gianmario Tessitore
In this paper we provide sufficient conditions which ensure that the non-linear equation , , with and being an unbounded operato…
Instabilities in a combustion model with two free interfaces
Davide Addona, Claude-Michel Brauner, Luca Lorenzi +1
We study in a strip of a combustion model of flame propagation with stepwise temperature kinetics and zero-order reaction, characterized by two free interfaces, respe…
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…
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 with unbounded coefficients. We prove the existence and characterize all the systems of invari…
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 . We prove sharp uniform estimates for the spatial derivatives of…
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…
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 can be associated, in the space of vector-valued bounded and continuous functions, to a…