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A transmission problem for the plate equation

Published online by Cambridge University Press:  14 November 2011

R. Leis  and
G. F. Roach
R. Leis
Affiliation:
Institut für Angewandte Mathematik, Universität Bonn, B.R.D.
G. F. Roach
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
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Synopsis

A scattering theory is developed for transmission problems associated with the plate equation. Asymptotic methods of solution for large time are examined as are questions concerning regularity of solution, nature of the associated spectrum and existence of appropriate wave operators. It is shown that in contrast to solutions of the wave equation, signals can propagate with an infinite dispersion velocity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 3-4 , 1985 , pp. 285 - 312
Copyright
Copyright © Royal Society of Edinburgh 1985

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