Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients
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- by A. E. Hurd and D. H. Sattinger PDF
- Trans. Amer. Math. Soc. 132 (1968), 159-174 Request permission
References
- 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 206474, DOI 10.1016/0022-247X(67)90054-6
- R. Courant and D. Hilbert, Methods of mathematical physics. Vol. I, Interscience Publishers, Inc., New York, N.Y., 1953. MR 0065391 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.
- N. N. Kuznecov, On hyperbolic systems of linear equations with discontinuous coefficients, Ž. Vyčisl. Mat i Mat. Fiz. 3 (1963), 299–313 (Russian). MR 160039 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.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 132 (1968), 159-174
- MSC: Primary 35.38
- DOI: https://doi.org/10.1090/S0002-9947-1968-0222457-8
- MathSciNet review: 0222457