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Resolvent estimates with mild trapping
- Publication Year :
- 2012
-
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.<br />Comment: 15 pages. For Journ\'ees EDP 2012 conference proceedings
- Subjects :
- Mathematics - Analysis of PDEs
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1209.0843
- Document Type :
- Working Paper