5 papers · 1 filter
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}…
Kernel estimates for nonautonomous Kolmogorov equations
M. Kunze, L. Lorenzi, A. Rhandi
Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion…