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

Luciana Angiuli; Luca Lorenzi; Elisabetta Mangino

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arXiv · 2311.01978

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

Luciana Angiuli·Luca Lorenzi·Elisabetta Mangino

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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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Luciana Angiuli, Luca Lorenzi, Elisabetta Mangino. 2023-11-03. Strongly coupled Schroedinger operators in L^p(R^d;C^m). https://arxiv.org/abs/2311.01978

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