We consider systems of elliptic equations, possibly coupled up to the second order, on the Lp(Rd;Cm) scale. Under suitable assumptions, we prove that the minimal realization in Lp(Rd;Cm) generates a strongly continuous analytic semigroup. We also prove the consistency of the semigroups on the Lp scale and some spectral results.
Strongly coupled Schrödinger operators in Lp(Rd;Cm) / Angiuli, L.; Lorenzi, L.; Mangino, E. M.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - 25:3(2025). [10.1007/s00028-025-01078-6]
Strongly coupled Schrödinger operators in Lp(Rd;Cm)
Angiuli L.;Lorenzi L.;
2025-01-01
Abstract
We consider systems of elliptic equations, possibly coupled up to the second order, on the Lp(Rd;Cm) scale. Under suitable assumptions, we prove that the minimal realization in Lp(Rd;Cm) generates a strongly continuous analytic semigroup. We also prove the consistency of the semigroups on the Lp scale and some spectral results.File in questo prodotto:
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