|
|||||
 |
|
|
|
|
|
|
|
Spectral theory of
pseudodifferential operators of degree 0 and an application
to forced linear waves
Yves Colin de Verdière |
|
Vol. 13 (2020), No. 5, 1521–1537
|
Abstract |
|
We extend the results of our paper “Attractors for two-dimensional waves with homogeneous Hamiltonians of degree 0,” written with Laure Saint-Raymond, to the case of forced linear wave equations in any dimension. We prove that, in dimension 2, if the foliation on the boundary at infinity of the energy shell is Morse–Smale, we can apply Mourre’s theory and hence get the asymptotics of the forced solution. We also characterize the wavefront sets of the limit Schwartz distribution using radial propagation estimates. |
PDF Access Denied
We have not been able to recognize your IP address
3.149.251.155
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
forced waves, internal waves, inertial waves, attractors,
Mourre theory, spectral theory, limiting absorption
principle, escape functions, pseudodifferential operator,
Morse–Smale property
|
Mathematical Subject Classification 2010
Primary: 35B34, 35Q30, 35Q35, 58J40, 76B55
Secondary: 76B70
|
Milestones
Received: 9 May 2018
Revised: 6 April 2019
Accepted: 12 May 2019
Published: 27 July 2020
|
Authors |
| Yves Colin de Verdière | |
| Université Grenoble Alpes Institut Fourier Unité mixte de recherche CNRS-UGA 5582 Saint Martin d’Hères France |
|
