Microlocal analysis of forced waves
Name
1806.00809.pdf
Description
Accepted version
Size
883.16 KB
Format
Adobe PDF
Checksum (MD5)
54eaf387a09d542bf2bd74cad09373a8
Author(s)
Dyatlov, Semyon
Zworski, Maciej
Date Issued
2019
Journal
Pure and Applied Analysis
Publisher
Mathematical Sciences Publishers
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.2140/PAA.2019.1.359
