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Spectral representation and scattering theory for the wave equation with two unbounded media
Published online by Cambridge University Press: 24 October 2008
Abstract
In this paper, we establish the generalized eigenfunction expansions for wave propagation in inhomogeneous, penetrable media in ℝn(n ≥ 2) with an unbounded interface. We then use them together with the method of stationary phase to prove the existence of the wave operators and to obtain the representations of the wave operators in terms of the generalized Fourier transforms.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 2 , March 1993 , pp. 423 - 447
- Copyright
- Copyright © Cambridge Philosophical Society 1993
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