The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates

06/29/2020

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by   Stefan Sauter, et al.

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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.