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We consider systems of elliptic equations, possibly coupled up to thesecond-order, on the L^p(R^d;C^m)-scale. Under suitable assumptions we provethat the minimal realization in L^p(R^d;C^m)$ generates a strongly continuousanalytic semigroup. We also prove the consistency of the semigroup on theL^p-scale and some spectral results.

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