Propagation des singularit\'es et r\'esonances
Analysis of PDEs
2017-04-13 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
In the framework of semiclassical resonances, we make more precise the link between polynomial estimates of the extension of the resolvent and propagation of the singularities through the trapped set. This approach makes it possible to eliminate infinity and to concentrate the study near the trapped set. It has allowed us in previous papers to obtain the asymptotic of resonances in various geometric situations.
Cite
@article{arxiv.1704.03798,
title = {Propagation des singularit\'es et r\'esonances},
author = {Jean-Francois Bony and Setsuro Fujiie and Thierry Ramond and Maher Zerzeri},
journal= {arXiv preprint arXiv:1704.03798},
year = {2017}
}
Comments
7 pages, in French