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Proceedings of the International Congress of Mathematicians pp 106–119Cite as

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Wave Propagation

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Abstract

The mathematical theory of wave propagation is the study of partial differential equations, or systems of such equations, with wave-like solutions. An example of such an equation is the wave equation

$$\Delta u(x,t) - \frac{1}{{{c^2}(x)}}{u_{tt}}(x,t) = 0.$$
(1.1)

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References

  1. J. B. Keller, A geometrical theory of diffraction, calculus of variations and its applications, Proc. Sympos. Appl. Math., 8 (1958), 27–52; Math. Revs., 20 (1959), 103.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    Joseph B. Keller

Authors
  1. Joseph B. Keller
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Editor information

Editors and Affiliations

  1. Département de Mathématiques, EPFL, 1015, Laussane, Switzerland

    S. D. Chatterji

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© 1995 Birkhäser Verlag, Basel, Switzerland

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Keller, J.B. (1995). Wave Propagation. In: Chatterji, S.D. (eds) Proceedings of the International Congress of Mathematicians. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9078-6_10

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  • DOI: https://doi.org/10.1007/978-3-0348-9078-6_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9897-3

  • Online ISBN: 978-3-0348-9078-6

  • eBook Packages: Springer Book Archive

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