Uniqueness results in the inverse spectral Steklov problem

@article{Gendron2019UniquenessRI,
  title={Uniqueness results in the inverse spectral Steklov problem},
  author={Germain Gendron},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
  • Germain Gendron
  • Published 2019
  • Mathematics
  • arXiv: Analysis of PDEs
  • 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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