Liu, Tai-Ping Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations. (English) Zbl 0379.35048 J. Differ. Equations 33, 92-111 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 97 Documents MSC: 35L60 First-order nonlinear hyperbolic equations 35B99 Qualitative properties of solutions to partial differential equations PDFBibTeX XMLCite \textit{T.-P. Liu}, J. Differ. Equations 33, 92--111 (1979; Zbl 0379.35048) Full Text: DOI References: [1] Glimm, J., Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 18, 697-715 (1965) · Zbl 0141.28902 [2] Glimm, J.; Lax, P. D., Decay of solutions of systems of nonlinear hyperbolic conservation laws, Mem. Amer. Math. Soc. No. 101 (1970) · Zbl 0204.11304 [3] John, F., Formation of singularities in one-dimensional nonlinear wave propagation, Comm. Pure Appl. Math., 27, 377-405 (1974) · Zbl 0302.35064 [4] Lax, P. D., Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math., 10, 537-556 (1957) · Zbl 0081.08803 [5] Lax, P. D., Development of singularities of solutions of nonlinear hyperbolic partial differential equations, J. Math. Phys., 5, 611-613 (1964) · Zbl 0135.15101 [6] Liu, T.-P, Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws, Comm. Pure Appl. Math., 30, 767-796 (1977) · Zbl 0358.35014 [7] Courant, R.; Hilbert, D., (Methods of Mathematical Physics, Vol. II (1962), Wiley: Wiley New York), Chap. V. 6 · Zbl 0729.00007 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.