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.
Mathematics Subject Classification (2010). 35S05,42C15.
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© 2015 Springer International Publishing Switzerland
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Cordero, E., Nicola, F., Rodino, L. (2015). Gabor Wave Packets and Evolution Operators. In: Pilipović, S., Toft, J. (eds) Pseudo-Differential Operators and Generalized Functions. Operator Theory: Advances and Applications(), vol 245. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-14618-8_4
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DOI: https://doi.org/10.1007/978-3-319-14618-8_4
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-14617-1
Online ISBN: 978-3-319-14618-8
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