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A uniform approximation to the solution of Ursell’s radiating body problem

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Part of the Lecture Notes in Mathematics book series (LNM,volume 522)

Keywords

  • Approximate Solution
  • Radiation Condition
  • Asymptotic Property
  • General Boundary Condition
  • Smoothness Property

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References for Chapter 3

  1. C. S. Morawetz and D. Ludwig, An inequality for the reduced wave operator and the justification of geometrical optics, Comm. Pure Appl. Math. 21 (1968), 187–203.

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  2. C. S. Morawetz, Decay for solutions of the Dirichlet exterior problem for the wave equation, Comm. Pure Appl. Math. 38 (1975), 229–264.

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  3. F. Ursell, On the short wave asymptotic theory of the wave equation (∇2+k2)ϕ=0. Proc. Camb. Philos. Soc. 53 (1957), 115–133.

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© 1976 Springer-Verlag

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Bloom, C.O., Kazarinoff, N.D. (1976). A uniform approximation to the solution of Ursell’s radiating body problem. In: Short Wave Radiation Problems in Inhomogeneous Media: Asymptotic Solutions. Lecture Notes in Mathematics, vol 522. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079581

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  • DOI: https://doi.org/10.1007/BFb0079581

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07698-8

  • Online ISBN: 978-3-540-38229-4

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