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The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates

Sauter, Stefan; Torres, Céline (2021). The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability estimates. Asymptotic Analysis, 125(3-4):289-325.

Abstract

We study wave propagation phenomena modelled in the frequency domain by the Helmholtz equation in heterogeneous media with focus on media with discontinuous, highly oscillating wave speed. We restrict to problems with spherical symmetry and will derive explicit representations of the Green’s operator and stability estimates which are explicit in the frequency and the wave speed.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:340 Law
610 Medicine & health
510 Mathematics
Scopus Subject Areas:Physical Sciences > General Mathematics
Uncontrolled Keywords:General Mathematics
Language:English
Date:6 October 2021
Deposited On:17 Nov 2021 13:46
Last Modified:26 Oct 2024 01:38
Publisher:IOS Press
ISSN:1875-8576
OA Status:Closed
Publisher DOI:https://doi.org/10.3233/asy-201657

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