Nishida, Takaaki; Smoller, Joel A. Solutions in the large for some nonlinear hyperbolic conservation laws. (English) Zbl 0267.35058 Commun. Pure Appl. Math. 26, 183-200 (1973). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 96 Documents MSC: 35L65 Hyperbolic conservation laws 35L60 First-order nonlinear hyperbolic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) PDFBibTeX XMLCite \textit{T. Nishida} and \textit{J. A. Smoller}, Commun. Pure Appl. Math. 26, 183--200 (1973; Zbl 0267.35058) Full Text: DOI References: [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. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.