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math.AP2026
Hypercontractivity type property for generalized Mehler semigroups
Luciana Angiuli, Simone Ferrari
We investigate the hypercontractivity property of generalized Mehler semigroups on the -scale with respect to invariant measures. This property is first obtained in the purely…
math.AP2025
L^p-quasicontractiveness and Kernel estimates for semigroups generated by systems of elliptic operators
L. Angiuli, E. M. Mangino, L. Lorenzi
This paper focuses on systems of strongly coupled elliptic operators whose coefficients may be unbounded and are defined on a domain . It is shown that a…
math.AP2024
Regularity results for elliptic and parabolic systems of partial differential equations
Luciana Angluli, Simone Ferrari, Luca Lorenzi
We study Cauchy problems associated to elliptic operators acting on vector-valued functions and coupled up to the first-order. We prove pointwise estimates for the spatial derivati…