Sjöstrand, Johannes; Zworski, Maciej Lower bounds on the number of scattering poles. II. (English) Zbl 0823.35137 J. Funct. Anal. 123, No. 2, 336-367 (1994). 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. Reviewer: A.Martinez (Villetaneuse) Cited in 2 ReviewsCited in 28 Documents MSC: 35P25 Scattering theory for PDEs 35P15 Estimates of eigenvalues in context of PDEs 47A40 Scattering theory of linear operators Keywords:resonances; scattering poles Citations:Zbl 0784.35070 PDF BibTeX XML Cite \textit{J. Sjöstrand} and \textit{M. Zworski}, J. Funct. Anal. 123, No. 2, 336--367 (1994; Zbl 0823.35137) Full Text: DOI OpenURL