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MR1609868 (2000d:35020) 35F25 (35D05)
Panov, E. Yu. On the Cauchy problem for a first-order quasilinear equation on a manifold. (Russian) Differ. Uravn. 33 (1997), no. 2, 257--266, 287; translation in Differential Equations 33 (1997), no. 2, 257–266
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