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arXiv · 1407.0997

Gabor wave packets and evolution operators

Elena Cordero·Fabio Nicola·Luigi Rodino
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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.

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Elena Cordero, Fabio Nicola, Luigi Rodino. 2014-07-03. Gabor wave packets and evolution operators. https://arxiv.org/abs/1407.0997

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