On pointwise decay of waves
Analysis of PDEs
2021-07-07 v2
Abstract
This article serves as an introduction to the linear aspects of the recent submission by Krieger, Miao, and the author, see arXiv:2009.08843. It also surveys some of the results obtained on the decay of linear waves on various backgrounds or in the presence of a potential over the past 15 years. Particular emphasis is placed on the role of 0 energy. The techniques are based on spectral and scattering theory. Note that this is not a systematic review, as this would require a book.
Cite
@article{arxiv.2012.14448,
title = {On pointwise decay of waves},
author = {Wilhelm Schlag},
journal= {arXiv preprint arXiv:2012.14448},
year = {2021}
}
Comments
This article is dedicated to the memory of Jean Bourgain. 5 figures are included. Revised version, to appear in Journal Math. Phys