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

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

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
URI https://vuir.vu.edu.au/id/eprint/17429
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords pseudo-differential, diffraction, elliptic, regularizator
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