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Solutions in the large for some nonlinear hyperbolic conservation laws. (English) Zbl 0267.35058

35L65 Hyperbolic conservation laws
35L60 First-order nonlinear hyperbolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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[1] Riemann, Abhandl. Koenig. Gesell. Wiss., Goettingen 8 pp 43– (1860)
[2] Lax, Comm. Pure Appl. Math. 10 pp 537– (1957)
[3] Glimm, Comm. Pure Appl. Math. 18 pp 697– (1965)
[4] and , Decay of solutions of systems of nonlinear hyperbolic conservation laws, Mem. Amer. Math. Soc., No. 101, 1967, 1970.
[5] Nishida, Proc. Japan Acad. 44 pp 642– (1968)
[6] Johnson, Arch. Rat. Mech. Anal. 32 pp 169– (1969)
[7] Bakhvarov, Zhur. Vychisl. Mat. i Matemat. Fiz. 10 pp 969– (1970)
[8] On the existence of global solutions for a class of quasilinear hyperbolic systems, preprint, Moscow, 1971. (In Russian.)
[9] DiPerna, Comm. Pure Appl. Math. 26 pp 1– (1973)
[10] The Cauchy problem for the quasilinear wave equation, private communication.
[11] Shock waves and entropy, in Contributions to Nonlinear Functional Analysis, ed. by Academic Press, New York, 1971, pp. 603–634. · doi:10.1016/B978-0-12-775850-3.50018-2
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