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} }
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.
2 Citations
Stability in the inverse Steklov problem on warped product Riemannian manifolds
- Mathematics, Physics
- 2018
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