Abstract
IfP is an elliptic self-adjoint perturbation of the Laplacian Δ on ℝ3, and the coefficients ofP−Δ decay super-exponentially, then we show thatP has infinitely many resonances. The resonances are defined here as the poles of the meromorphic continuation of (P−λ2)−1.
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Barreto, A.S., Zworski, M. Existence of resonances in three dimensions. Commun.Math. Phys. 173, 401–415 (1995). https://doi.org/10.1007/BF02101240
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DOI: https://doi.org/10.1007/BF02101240