zbMATH — the first resource for mathematics

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)].

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)
Full Text: DOI EuDML