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MR768737 (86d:35086) 35L60 (35Q20 47H20 76N15)
Giga, Yoshikazu; Miyakawa, Tetsuro; Oharu, Shinnosuke A kinetic approach to general first order quasilinear equations. Trans. Amer. Math. Soc. 287 (1985), no. 2, 723–743.
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