The Poisson embedding approach to the Calderón problem

@article{Lassas2018ThePE,
  title={The Poisson embedding approach to the Calder{\'o}n problem},
  author={Matti Lassas and Tony Liimatainen and Mikko Salo},
  journal={Mathematische Annalen},
  year={2018},
  volume={377},
  pages={19-67}
}
We introduce a new approach to the anisotropic Calderón problem, based on a map called Poisson embedding that identifies the points of a Riemannian manifold with distributions on its boundary. We give a new uniqueness result for a large class of Calderón type inverse problems for quasilinear equations in the real analytic case. The approach also leads to a new proof of the result of Lassas et al. (Annales de l’ ENS 34(5):771–787, 2001 ) solving the Calderón problem on real analytic Riemannian… 
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22 Citations
Background Citations
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Methods Citations
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Results Citations
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22 Citations

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