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math.AP2025
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…
math.AP2024
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…
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 , where is a closed operator, associated to a semigroup, with good smoothing effects in a Ban…