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The Calder\'on Problem For The Fractional Magnetic Operator

Analysis of PDEs 2020-07-13 v2

Abstract

We introduce the fractional magnetic operator involving a magnetic potential and an electric potential. We formulate an inverse problem for the fractional magnetic operator. We determine the electric potential from the exterior partial measurements of the associated Dirichlet-to-Neumann map by using Runge approximation property.

Keywords

Cite

@article{arxiv.1911.11869,
  title  = {The Calder\'on Problem For The Fractional Magnetic Operator},
  author = {Li Li},
  journal= {arXiv preprint arXiv:1911.11869},
  year   = {2020}
}

Comments

14 pages