English

The fractional Calder\'on problem

Analysis of PDEs 2018-02-16 v2

Abstract

We review recent progress in the fractional Calder\'on problem, where one tries to determine an unknown coefficient in a fractional Schr\"odinger equation from exterior measurements of solutions. This equation enjoys remarkable uniqueness and approximation properties, which turn out to yield strong results in related inverse problems.

Keywords

Cite

@article{arxiv.1711.06103,
  title  = {The fractional Calder\'on problem},
  author = {Mikko Salo},
  journal= {arXiv preprint arXiv:1711.06103},
  year   = {2018}
}

Comments

9 pages, 1 figure, to appear in the proceedings of Journ\'ees EDP (Roscoff, June 2017)

R2 v1 2026-06-22T22:48:13.630Z