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

The heterogeneous Helmholtz problem with spherical symmetry: Green’s operator and stability... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Asymptotic Analysis IOS Press

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

Asymptotic Analysis , Volume 125 (3-4): 37 – Oct 6, 2021

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Publisher
IOS Press
Copyright
Copyright © 2021 © 2021 – IOS Press. All rights reserved.
ISSN
0921-7134
eISSN
1875-8576
DOI
10.3233/ASY-201657
Publisher site
See Article on Publisher Site

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.

Journal

Asymptotic AnalysisIOS Press

Published: Oct 6, 2021

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