Gabor wave packets and evolution operators
Functional Analysis
2014-07-04 v1 Analysis of PDEs
Abstract
We perform a Gabor analysis for a large class of evolution equations with constant coefficients. We show that the corresponding propagators have a very sparse Gabor matrix, displaying off-diagonal exponential decay. The results apply to hyperbolic, weakly hyperbolic and parabolic equations. Some numerical experiments are provided.
Cite
@article{arxiv.1407.0997,
title = {Gabor wave packets and evolution operators},
author = {Elena Cordero and Fabio Nicola and Luigi Rodino},
journal= {arXiv preprint arXiv:1407.0997},
year = {2014}
}
Comments
13 pages, 5 figures. Proceedings ISAAC Conference 2013