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An ordering principle for discontinuous solutions of quasi-linear equations. (English) Zbl 0204.41301

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[1] Douglis, A., An ordering principle and generalized solutions of certain quasi-linear partial differential equations, Comm. Pure Appl. Math., 12, 87-112 (1959) · Zbl 0084.29503
[2] Oleinik, O. A., On discontinous solutions of nonlinear differential equations, Uspekhi Mat. Nauk, 12, 3-73 (1957) · Zbl 0080.07701
[3] English translation. Am. Math. Soc. Trans.; English translation. Am. Math. Soc. Trans.
[4] Conway, E.; Smoller, J., Global solution of the Cauchy problem for quasi-linear first order equations in several space variables, Comm. Pure Appl. Math., 19, 95-105 (1966) · Zbl 0138.34701
[5] Conway, E.; Smoller, J., Uniqueness and stability of generalized solutions of quasi-linear equations in several space variables, Arch. Rational Mech. Anal., 23, 399-408 (1967) · Zbl 0157.16701
[6] Lax, P. D., Hyperbolic systems of conservation laws II, Comm. Pure Appl. Math., 10, 537-566 (1957) · Zbl 0081.08803
[7] Conway, E. D.; Hopf, E., Hamilton’s theory and generalized solutions of the Hamilton-Jacobi equation, J. Math. Mech., 13, 939-986 (1964) · Zbl 0178.11002
[8] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley New York · Zbl 0125.32102
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