Strongly coupled Schroedinger operators in L^p(R^d;C^m)

2023/11/03 by Angiuli, Luciana, Lorenzi, Luca, Mangino, Elisabetta · 1 citation
#35J47 #35K45 #47D06 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.01978

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.

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