Uniqueness results in the inverse spectral Steklov problem
Analysis of PDEs
2020-03-04 v2 Differential Geometry
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1909.12560,
title = {Uniqueness results in the inverse spectral Steklov problem},
author = {Germain Gendron},
journal= {arXiv preprint arXiv:1909.12560},
year = {2020}
}