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On the existence of discontinuous solutions of the Cauchy problem for quasi-linear first-order equations. (English) Zbl 0166.36301

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[1] E. Conway and J. Smoller: Global solutions of the cauchy problem for first-order equations in several space variables. Comm. Pure Appl. Math., 19, 95-105 (1966). · Zbl 0138.34701 · doi:10.1002/cpa.3160190107
[2] A. Douglis: On calculating weak solutions of quasi-liear, first-order partial differential equations. Contributions to Diff. Eqns., 1, 59-94 (1963). · Zbl 0196.50105
[3] A. Oleinik: Discontinuous solutions of nonlinear differential equations. Uspekhi. Mat. Nauk., 12, 3-73 (1957), English translation, Amer. Math. Soc. Trans., Ser. 2, 26, 95-172. · Zbl 0131.31803
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