Lower bounds for resonance widths in potential and obstacle scattering |
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| Authors: | Claudio Fernandez Richard Lavine |
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| Affiliation: | (1) Facultad de Matematicas, Pontificia Universidad Catolica de Chile, Casilla 6177, Santiago, Chile;(2) Department of Mathematics, University of Rochester, 14627 Rochester, NY, USA |
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| Abstract: | Explicit lower bounds are given for the size of the imaginary parts of resonances for Schrödinger operators with non-trapping or trapping potentials, and for the Dirichlet Laplacian in the exterior of a star-shaped obstacle, both acting in three dimensions.Work partially supported by DiUC/FONDECYT (Chile)Work partially supported by U.S. National Science Foundation grant DMS 8705610 |
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