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Antoine Benoit; Mitia Duerinckx; Antoine Gloria; Christopher Shirley
Approximate spectral theory and wave propagation in quasi-periodic media
Journées équations aux dérivées partielles (2017), Exp. No. 5, 12 p., doi: 10.5802/jedp.655
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Résumé - Abstract

In this article we make specific in the quasi-periodic setting the general Floquet-Bloch theory we have introduced for stationary ergodic operators together with the associated approximate spectral theory. As an application we consider the long-time behavior of the Schrödinger flow with a quasi-periodic potential (in the regime of small intensity of the discorder), and the long-time behavior of the wave equation with quasi-periodic coefficients (in the homogenization regime).

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