Spectral rigidity of the round Earth

With Joonas Ilmavirta, University of Jyväskylä

Spectral rigidity of the round Earth

Abstract:
Reconstructing the interior structure of the Earth from only the spectrum of its free oscillations is impossible for several reasons. This kind of “spectral uniqueness” is beyond reach, but a weaker result known as “spectral rigidity” is not. We discuss what it means if a model of the Earth is spectrally rigid and we give the first spectral rigidity result for a simple radial model. This is joint work with Maarten de Hoop and Vitaly Katsnelson

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