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Lower bounds on the number of scattering poles. II. (English) Zbl 0823.35137
In continuation of their paper [Commun. Partial Differ. Equ. 18, No. 5-6, 847-857 (1993; Zbl 0784.35070)] (where several examples were treated), here the authors obtain a very general lower bound on the number of scattering poles, for a wide class of abstract compactly supported perturbations of the Laplacian in \(\mathbb{R}^ n\) (\(n\) odd). The proof is based on the exploitation of the singularities of the wave trace at zero.

35P25 Scattering theory for PDEs
35P15 Estimates of eigenvalues in context of PDEs
47A40 Scattering theory of linear operators
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