In this article, we study for the‐realization of the vector‐valued Schrödinger operator. Using
a noncommutative version of the Dore–Venni theorem due to Monniaux and Prüss, we …

We prove that a family of linear bounded evolution operators (G (t, s)) t≥ s∈ I can be
associated, in the space of vector-valued bounded and continuous functions, to a class of …

In this paper we consider vector-valued Schr\" odinger operators of the form $\mathrm
{div}(Q\nabla u)-Vu $, where $ V=(v_ {ij}) $ is a nonnegative locally bounded matrix-valued …

In the paper [10] the L p-realization L p of the matrix Schrödinger operator L u= div (Q∇ u)+
V u was studied. The generation of a semigroup in L p (R d, C m) and characterization of the …

In this paper, we deal with weakly coupled elliptic systems \mathcalA with unbounded
coefficients. We prove the existence and characterize all the systems of invariant measures …

In this paper we consider the vector-valued Schrödinger operator− Δ+ V, where the potential
term V is a matrix-valued function whose entries belong to L loc 1 (R d) and, for every x∈ R …

We prove maximal Schauder regularity for solutions to elliptic systems and Cauchy
problems, in the space $ C_b (\mathbb {R}^ d;\mathbb {R}^ m) $ of bounded and continuous …

A class of vector-valued elliptic operators with unbounded coefficients, coupled up to the
second-order is investigated in the Lebesgue space L p (R d; R m) with p∈(1,∞), providing …

We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled
up to the first order, in the Lebesgue space L^ p (R^ d; R^ m) L p (R d; R m) with p ∈ (1, ∞) …

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 equations …