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On \(m\)-accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry. (English) Zbl 1057.58013
Schrödinger type operators on manifolds with complex potentials are considered. The main result is a sufficient criterion for the operators to be \(m\)-accretive. The proof follows previous work of T. Kato [Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 5, 105–114 (1978; Zbl 0376.47021)].

MSC:
58J50 Spectral problems; spectral geometry; scattering theory on manifolds
35P05 General topics in linear spectral theory for PDEs
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
47B25 Linear symmetric and selfadjoint operators (unbounded)
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