| dc.contributor.author | Waters, Alden | |
| dc.contributor.author | Dyatlov, Semen | |
| dc.date.accessioned | 2018-05-23T18:05:14Z | |
| dc.date.available | 2018-05-23T18:05:14Z | |
| dc.date.issued | 2015-12 | |
| dc.date.submitted | 2015-08 | |
| dc.identifier.issn | 1687-1200 | |
| dc.identifier.issn | 1687-1197 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/115825 | |
| dc.description.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. | en_US |
| dc.publisher | Oxford University Press (OUP) | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1093/AMRX/ABV010 | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Lower Resolvent Bounds and Lyapunov Exponents | en_US |
| dc.type | Article | en_US |
| dc.identifier.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) | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Dyatlov, Semen | |
| dc.relation.journal | Applied Mathematics Research eXpress | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2018-05-18T17:22:36Z | |
| dspace.orderedauthors | Dyatlov, Semyon; Waters, Alden | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-6594-7604 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
