Now back in print by the AMS, this is a significantly revised edition of a book originally published in 1987 by Academic Press. This book gives the reader an introduction to the …
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 …
L Angiuli, L Lorenzi, D Pallara - Journal of Mathematical Analysis and …, 2016 - Elsevier
We consider a class of nonautonomous parabolic first-order coupled systems in the Lebesgue space L p (R d; R m)(d, m≥ 1) with p∈[1,+∞). Sufficient conditions for the …
S Delmonte, L Lorenzi - Milan Journal of Mathematics, 2011 - Springer
We consider a class of weakly coupled systems of elliptic operators A with unbounded coefficients defined in R^ N. We prove that a semigroup (T (t)) t≥ 0 of bounded linear …
D Addona, L Angiuli, L Lorenzi… - … Control, Optimisation and …, 2017 - esaim-cocv.org
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 …
A Maichine, A Rhandi - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
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 …
D Addona, L Angiuli, L Lorenzi - 2019 - projecteuclid.org
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 …
D Addona, L Lorenzi - arXiv preprint arXiv:2112.14999, 2021 - arxiv.org
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 …