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The inverse problem for the fractional conductivity equation: a survey

Analysis of PDEs 2024-08-27 v1
Authors: Giovanni Covi
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Abstract

The fractional Calder\'on problem asks to determine the unknown coefficients in a nonlocal, elliptic equation of fractional order from exterior measurements of its solutions. There has been substantial work on many aspects of this inverse problem. In this review we collect some recent results related to the conductivity formulation of the fractional Calder\'on problem.

Keywords

fractional Calderón problem inverse problem fractional conductivity equation nonlocal elliptic equation exterior measurements

Cite

@article{arxiv.2408.14200,
  title  = {The inverse problem for the fractional conductivity equation: a survey},
  author = {Giovanni Covi},
  journal= {arXiv preprint arXiv:2408.14200},
  year   = {2024}
}

Comments

6 pages, short survey to appear as book chapter. Comments welcome!

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