Strongly coupled Schroedinger operators in L^p(R^d;C^m)
Analysis of PDEs
2023-11-06 v1
Abstract
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^p(R^d;C^m)$ generates a strongly continuous analytic semigroup. We also prove the consistency of the semigroup on the L^p-scale and some spectral results.
Cite
@article{arxiv.2311.01978,
title = {Strongly coupled Schroedinger operators in L^p(R^d;C^m)},
author = {Luciana Angiuli and Luca Lorenzi and Elisabetta Mangino},
journal= {arXiv preprint arXiv:2311.01978},
year = {2023}
}