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Semiclassical measures and propagation of high frequency waves in oscillating media

Patrick Gérard
Université de Paris-Sud, Orsay

ABSTRACT


We shall show how semiclassical (Wigner) measures can be used for generalizing the laws of geometric optics to wave equations with oscillating coefficients. For that purpose, some emphasis will be made on the connection with Bloch wave decompositions and microlocal analysis near energy level crossings.





2000-04-04