Applied Scientific Research

, Volume 26, Issue 1, pp 161–174 | Cite as

On a class of scattering equations

  • L. J. F. Broer
  • M. F. H. Schuurmans
Article
  • 21 Downloads

Abstract

In this paper a class of conservative wave equations treated by Broer and Peletier is considered when a single localised scatterer is present. A criterion for stability in the energy norm is derived. The formal solution of the scattering problem is given. The relation between the location of poles of the scattering matrix, the occurrence of standing wave solutions and the energy criterion is discussed.

Keywords

Wave Equation Wave Solution Formal Solution Standing Wave Energy Criterion 

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References

  1. [1]
    Peletier, L. A., On a class of wave equations, Thesis, Eindhoven, 1967.Google Scholar
  2. [2]
    Broer, L. J. F. andL. A. Peletier, Appl. Sci. Res.17 (1967) 133.CrossRefGoogle Scholar
  3. [3]
    Zubov, V. I., Methods of A. M. Lyapunov and their applications, Noordhoff, Groningen 1964.Google Scholar
  4. [4]
    Broer, L. J. F., Proc. 11th Congress of Appl. Mech. Munich 1964. Springer Verlag, Berlin 1966.Google Scholar

Copyright information

© Martinus Nijhoff 1972

Authors and Affiliations

  • L. J. F. Broer
    • 1
  • M. F. H. Schuurmans
    • 1
  1. 1.Department of PhysicsTechnical UniversityEindhovenThe Netherlands

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