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Problems of Diffraction Type for Elliptic Pseudo-Differential Operators with Variable Symbols

Fedotov, Igor and Gai, Ying (2005) Problems of Diffraction Type for Elliptic Pseudo-Differential Operators with Variable Symbols. Research report collection, 8 (2).

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Abstract

In this paper we consider problems of diffraction type for elliptic pseudo-differential operators with variable symbols depending on parameters. We compare the regularizators of a diffraction and a Dirichlet problem, and we prove that the regularizator of a diffraction problem tends to the regularizator of a Dirichlet problem as the parameter of the external domain tends to zero.

Item Type: Article
Uncontrolled Keywords: pseudo-differential, diffraction, elliptic, regularizator
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 13 Feb 2012 07:01
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17429
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