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On the Scattering Length Spectrum for Real Analytic Obstacles
Author: Stoyanov L.
Source: Journal of Functional Analysis, Volume 177, Number 2, November 2000 , pp. 459-488(30)
Publisher: Academic Press
Abstract:
It follows trivially from old results of Majda and Lax–Phillips that connected obstacles K with real analytic boundary in 
n are uniquely determined by their scattering length spectrum. In this paper we prove a similar result in the general case (i.e. K may be disconnected) imposing some non-degeneracy conditions on K and assuming that its trapping set does not topologically divide S*(C), where C is a sphere containing K. It is shown that the conditions imposed on K are fulfilled, for instance, when K is a finite disjoint union of strictly convex bodies. Copyright 2000 Academic Press.
Language: English
Document Type: Research article
Affiliations: Department of Mathematics and Statistics, University of Western Australia, Perth, 6907, Western Australia
Publication date: 2000-11-01
- In this: publication
- By this: publisher
- In this Subject: Mathematics and Statistics
- By this author: Stoyanov L.
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