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Transactions of the American Mathematical Society

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Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients


Authors: A. E. Hurd and D. H. Sattinger
Journal: Trans. Amer. Math. Soc. 132 (1968), 159-174
MSC: Primary 35.38
MathSciNet review: 0222457
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  • [1] Edward D. Conway, Generalized solutions of linear differential equations with discontinuous coefficients and the uniqueness question for multidimensional quasilinear conservation laws, J. Math. Anal. Appl. 18 (1967), 238–251. MR 0206474
  • [2] R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391
  • [3] I. M. Gelfand, Some questions of analysis and differential equations, Uspehi Mat. Nauk 14 (1959), no. 3 (87), 3-19; Amer. Math. Soc. Transl. (2) 26 (1963), 201-219.
  • [4] N. N. Kuznecov, On hyperbolic systems of linear equations with discontinuous coefficients, Z. Vyčisl. Mat. i Mat. Fiz. 3 (1963), 299–313 (Russian). MR 0160039
  • [5] O. A. Oleĭnik, Discontinuous solutions of nonlinear differential equations, Uspehi Mat. Nauk 12 (1957), no. 3 (75), 3-73; Amer. Math. Soc. Transl. (2) 26 (1963), 95-172.

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DOI: https://doi.org/10.1090/S0002-9947-1968-0222457-8
Article copyright: © Copyright 1968 American Mathematical Society