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On symmetrizing hyperbolic differential equations

Hyperbolic P.D.E. Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1270)

Keywords

  • Original System
  • Symmetric Form
  • Conservation Form
  • Discontinuous Solution
  • Nonlinear Functional Analysis

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References

  1. Friedrichs, K. O., and Lax, P.D., "Systems of Conservation Equations with a Convex Extension", Proc. Nat. Acad. Sci. U.S.A., 68, 8, pp.1686–88, (1971).

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  2. Godunov, S., "An Interesting Class of Quasilinear Systems", Dokl. Acad. Nauk,SSSR, 139 (1961), pp. 521–523.

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  3. Harten, A., and Lax, P.D., "Random Choice Finite, Difference Schemes", SIAM J. Num. Anal., 18, (1981), pp. 289–315.

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  4. Lax, P.D., "Differential Equations, Difference Equations and Matrix Theory", Comm. Pure Appl. Math.,XI (1958), pp. 175–194.

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  5. Lax, P.D., "A Concept of Entropy", Contributions to Nonlinear Functional Analysis, Ed. Zarantonello,(1971), pp. 603–634, Academic Press.

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© 1987 Springer-Verlag

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Lax, P.D. (1987). On symmetrizing hyperbolic differential equations. In: Carasso, C., Serre, D., Raviart, PA. (eds) Nonlinear Hyperbolic Problems. Lecture Notes in Mathematics, vol 1270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078324

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  • DOI: https://doi.org/10.1007/BFb0078324

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18200-9

  • Online ISBN: 978-3-540-47805-8

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