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Shocks and rarefactions in two space dimensions

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References

  1. Ballou, D.P., Solutions to nonlinear hyperbolic Cauchy problems without convexity conditions. Trans. Amer. Math. Soc. 152, 441–460 (1970).

    Google Scholar 

  2. Gelfand, I.M., Some problems in the theory of quasilinear equations. Usp. Math. Nauk. 14, 87–158 (1959); Amer. Math. Soc. Transl. (2) 29, 295–381 (1963).

    Google Scholar 

  3. Guckenheimer, J., Solving a single conservation law, mimeographed, 1973.

  4. Jennings, G., Piecewise smooth solutions of a single nonlinear conservation law are of second category, mimeographed, 1973.

  5. Schaeffer, D.G., A regularity theorem for conservation laws. Advances in Math. 11, 368–386 (1973).

    Google Scholar 

  6. Vol'pert, A.I., The spaces BV and quasilinear equations. Math. USSR — Sbornik 2, 225–267 (1967).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of California, Santa Cruz

    John Guckenheimer

Authors
  1. John Guckenheimer
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Communicated by G. Strang

Research partially supported by National Science Foundation.

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Guckenheimer, J. Shocks and rarefactions in two space dimensions. Arch. Rational Mech. Anal. 59, 281–291 (1975). https://doi.org/10.1007/BF00251604

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  • DOI: https://doi.org/10.1007/BF00251604

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