Gabor wave packets and evolution operators
arXiv:1407.0997
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.
13 pages, 5 figures. Proceedings ISAAC Conference 2013