Microlocal analysis of forced waves
We use radial estimates for pseudodifferential operators to describe long time evolution of solutions to $ i u_t - P u = f $ where $ P $ is a self-adjoint 0th order pseudodifferential operator satisfying hyperbolic dynamical assumptions and where $ f $ is smooth. This is motivated by recent results...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Mathematical Sciences Publishers
2021
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| Online Access: | https://hdl.handle.net/1721.1/136645 |
| _version_ | 1826205742304067584 |
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| author | Dyatlov, Semyon Zworski, Maciej |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dyatlov, Semyon Zworski, Maciej |
| author_sort | Dyatlov, Semyon |
| collection | MIT |
| description | We use radial estimates for pseudodifferential operators to describe long
time evolution of solutions to $ i u_t - P u = f $ where $ P $ is a
self-adjoint 0th order pseudodifferential operator satisfying hyperbolic
dynamical assumptions and where $ f $ is smooth. This is motivated by recent
results of Colin de Verdi\`ere and Saint-Raymond [arXiv:1801.05582] concerning
a microlocal model of internal waves in stratified fluids. |
| first_indexed | 2024-09-23T13:17:55Z |
| format | Article |
| id | mit-1721.1/136645 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:17:55Z |
| publishDate | 2021 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | mit-1721.1/1366452023-11-03T15:41:05Z Microlocal analysis of forced waves Dyatlov, Semyon Zworski, Maciej Massachusetts Institute of Technology. Department of Mathematics We use radial estimates for pseudodifferential operators to describe long time evolution of solutions to $ i u_t - P u = f $ where $ P $ is a self-adjoint 0th order pseudodifferential operator satisfying hyperbolic dynamical assumptions and where $ f $ is smooth. This is motivated by recent results of Colin de Verdi\`ere and Saint-Raymond [arXiv:1801.05582] concerning a microlocal model of internal waves in stratified fluids. 2021-10-27T20:36:25Z 2021-10-27T20:36:25Z 2019 2021-05-19T17:07:03Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136645 en 10.2140/PAA.2019.1.359 Pure and Applied Analysis Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Mathematical Sciences Publishers arXiv |
| spellingShingle | Dyatlov, Semyon Zworski, Maciej Microlocal analysis of forced waves |
| title | Microlocal analysis of forced waves |
| title_full | Microlocal analysis of forced waves |
| title_fullStr | Microlocal analysis of forced waves |
| title_full_unstemmed | Microlocal analysis of forced waves |
| title_short | Microlocal analysis of forced waves |
| title_sort | microlocal analysis of forced waves |
| url | https://hdl.handle.net/1721.1/136645 |
| work_keys_str_mv | AT dyatlovsemyon microlocalanalysisofforcedwaves AT zworskimaciej microlocalanalysisofforcedwaves |