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A sharp lower bound for a resonance-counting function in even dimensions
- Publication Year :
- 2015
-
Abstract
- This paper proves sharp lower bounds on a resonance counting function for obstacle scattering in even-dimensional Euclidean space without a need for trapping assumptions. Similar lower bounds are proved for some other compactly supported perturbations of the Laplacian on even-dimensional Euclidean space, for example, for the Laplacian for certain metric perturbations. The proof uses a Poisson formula for resonances, complementary to one proved by Zworski in even dimensions.<br />Comment: 21 pages
- Subjects :
- Mathematics - Spectral Theory
Mathematical Physics
35P25, 58J50
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1510.04952
- Document Type :
- Working Paper