Resolvent estimates with mild trapping
Analysis of PDEs
2012-09-06 v1
Abstract
We discuss recent progress in understanding the effects of certain trapping geometries on cut-off resolvent estimates, and thus on the qualititative behavior of linear evolution equations. We focus on trapping that is unstable, so that strong resolvent estimates hold on the real axis, and large resonance-free regions can be shown to exist beyond it.
Cite
@article{arxiv.1209.0843,
title = {Resolvent estimates with mild trapping},
author = {Jared Wunsch},
journal= {arXiv preprint arXiv:1209.0843},
year = {2012}
}
Comments
15 pages. For Journ\'ees EDP 2012 conference proceedings