MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Lower Resolvent Bounds and Lyapunov Exponents

Author(s)
Waters, Alden; Dyatlov, Semen
Thumbnail
Download1508.04051.pdf (675.5Kb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
We prove a new polynomial lower bound on the scattering resolvent. For that, we construct a quasimode localized on a trajectory \gamma which is trapped in the past, but not in the future. The power in the bound is expressed in terms of the maximal Lyapunov exponent on \gamma , and gives the minimal number of derivatives lost in exponential decay of solutions to the wave equation.
Date issued
2015-12
URI
http://hdl.handle.net/1721.1/115825
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Applied Mathematics Research eXpress
Publisher
Oxford University Press (OUP)
Citation
Dyatlov, Semyon and Alden Waters. “Lower Resolvent Bounds and Lyapunov Exponents.” Applied Mathematics Research eXpress 2016, 1 (December 2015): 68–97 © 2015 The Author(s)
Version: Author's final manuscript
ISSN
1687-1200
1687-1197

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.