Determining the magnetic potential in the fractional magnetic Calderón problem

We determine both the magnetic potential and the electric potential from the exterior partial measurements of the Dirichlet-to-Neumann map in the fractional linear magnetic Calderón problem by using an integral identity. We also determine both the magnetic potential and the nonlinearity in the fract...

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Bibliographic Details
Published inCommunications in partial differential equations Vol. 46; no. 6; pp. 1017 - 1026
Main Author Li, Li
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.06.2021
Taylor & Francis Ltd
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ISSN0360-5302
1532-4133
DOI10.1080/03605302.2020.1857406

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Summary:We determine both the magnetic potential and the electric potential from the exterior partial measurements of the Dirichlet-to-Neumann map in the fractional linear magnetic Calderón problem by using an integral identity. We also determine both the magnetic potential and the nonlinearity in the fractional semi-linear magnetic Calderón problem by using a first order linearization.
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ISSN:0360-5302
1532-4133
DOI:10.1080/03605302.2020.1857406