Lower bounds for resonance counting functions for Schrödinger operators with fixed sign potentials in even dimensions
Christiansen, T. J.
Original · EN
If the dimension d is even, the resonances of the Schrödinger operator -Δ+V on Rᵈ with V bounded and compactly supported are points on Λ, the logarithmic cover of C {0}. We show that for fixed sign potentials V and for nonzero integers m, the resonance counting function for the mth sheet of Λ has maximal order of growth.
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