Gabor wave packets and evolution operators
  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. 
Elena Cordero, Fabio Nicola, Luigi Rodino
math.FA math.AP