Estimates on the number of scattering poles near the real axis for strictly convex obstacles

Sjöstrand, Johannes, and Zworski, Maciej. "Estimates on the number of scattering poles near the real axis for strictly convex obstacles." Annales de l'institut Fourier 43.3 (1993): 769-790. <http://eudml.org/doc/75019>.

@article{Sjöstrand1993,
abstract = {For the Dirichlet Laplacian in the exterior of a strictly convex obstacle, we show that the number of scattering poles of modulus $\le r$ in a small angle $\theta $ near the real axis, can be estimated by Const $\theta ^\{3/2\}r^n$ for $r$ sufficiently large depending on $\theta $. Here $n$ is the dimension.},
author = {Sjöstrand, Johannes, Zworski, Maciej},
journal = {Annales de l'institut Fourier},
keywords = {resonance; complex scaling; semiclassical problem; Dirichlet Laplacian; exterior of a strictly convex obstacle; scattering poles},
language = {eng},
number = {3},
pages = {769-790},
publisher = {Association des Annales de l'Institut Fourier},
title = {Estimates on the number of scattering poles near the real axis for strictly convex obstacles},
url = {http://eudml.org/doc/75019},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Sjöstrand, Johannes
AU - Zworski, Maciej
TI - Estimates on the number of scattering poles near the real axis for strictly convex obstacles
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 3
SP - 769
EP - 790
AB - For the Dirichlet Laplacian in the exterior of a strictly convex obstacle, we show that the number of scattering poles of modulus $\le r$ in a small angle $\theta $ near the real axis, can be estimated by Const $\theta ^{3/2}r^n$ for $r$ sufficiently large depending on $\theta $. Here $n$ is the dimension.
LA - eng
KW - resonance; complex scaling; semiclassical problem; Dirichlet Laplacian; exterior of a strictly convex obstacle; scattering poles
UR - http://eudml.org/doc/75019
ER -