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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 q…
math.AP2023
Strongly coupled Schroedinger operators in L^p(R^d;C^m)
Luciana Angiuli, Luca Lorenzi, Elisabetta Mangino
We consider systems of elliptic equations, possibly coupled up to the second-order, on the L^p(R^d;C^m)-scale. Under suitable assumptions we prove that the minimal realization in L…
math.AP2022
Generation of semigroups associated to strongly coupled elliptic operator in
Luciana Angiuli, Luca Lorenzi, Elisabetta M. Mangino
A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the second-order is investigated in the Lebesgue space with $p…