Browsing Department of Mathematics (MU) by Author "Christiansen, Tanya"
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The resonance counting function for Schrödinger operators with generic potentials
Christiansen, Tanya; Hislop, Peter D., 1955 (200505)We show that the resonance counting function for a Schr¨odinger operator has maximal order of growth for generic sets of realvalued, or complexvalued, L1compactly supported potentials. 
Some upper bounds on the number of resonances for manifolds with infinite cylindrical ends
Christiansen, Tanya (200201)We prove some sharp upper bounds on the number of resonances associated with the Laplacian, or Laplacian plus potential, on a manifold with infinite cylidrical ends.