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arXiv · 1909.12560

Uniqueness results in the inverse spectral Steklov problem

Germain Gendron
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Abstract

This paper is devoted to an inverse Steklov problem for a particular class of n-dimensional manifolds having the topology of a hollow sphere and equipped with a warped product metric. We prove that the knowledge of the Steklov spectrum determines uniquely the associated warping function up to a natural invariance.

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Germain Gendron. 2019-09-27. Uniqueness results in the inverse spectral Steklov problem. https://arxiv.org/abs/1909.12560

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