Geodesic
The limits of applicability of the canonical operator method for nonstrictly hyperbolic equations with nonsmooth characteristics
Izvestiya. Mathematics , Tome 29 (1987) no. 1, pp. 95-117

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The Cauchy problem with rapidly oscillating initial conditions is investigated for the class of nonstrictly hyperbolic equations with nonsmooth characteristics. The domain of applicability of the Maslov canonical operator method is determined. Bibliography: 12 titles. 
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     author = {V. V. Kucherenko and L. Yu. Motylev},
     title = {The limits of applicability of the canonical operator method for nonstrictly hyperbolic equations with nonsmooth characteristics},
     journal = {Izvestiya. Mathematics },
     pages = {95--117},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a5/}
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V. V. Kucherenko; L. Yu. Motylev. The limits of applicability of the canonical operator method for nonstrictly hyperbolic equations with nonsmooth characteristics. Izvestiya. Mathematics , Tome 29 (1987) no. 1, pp. 95-117. http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a5/