Geodesic
On a~justification of the Huygens's Rule
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 17-24

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The known Huygens's Rule of constructing a wavejfront by the envelopes is proved for the media discribed by parameters nonanalytically depended on coordinates. The Rule is deduced from generalization of the Holmgreen's Uniqueness Theorem recently given by D. Tataru. Bibliography: 14 titles. 
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     author = {M. I. Belishev},
     title = {On a~justification of the {Huygens's} {Rule}},
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M. I. Belishev. On a~justification of the Huygens's Rule. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 24, Tome 218 (1994), pp. 17-24. http://geodesic.mathdoc.fr/item/ZNSL_1994_218_a2/