The inverse problem for the fractional conductivity equation: a survey

Fuente: arXiv
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Autore principale: Covi, Giovanni
Natura: Preprint
Pubblicazione: 2024
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_version_ 1866916369901027328
author Covi, Giovanni
author_facet Covi, Giovanni
contents The fractional Calderón 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 Calderón problem.
format Preprint
id arxiv_https___arxiv_org_abs_2408_14200
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The inverse problem for the fractional conductivity equation: a survey
Covi, Giovanni
Analysis of PDEs
35R30, 26A33, 42B37, 46F12
The fractional Calderón 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 Calderón problem.
title The inverse problem for the fractional conductivity equation: a survey
topic Analysis of PDEs
35R30, 26A33, 42B37, 46F12
url https://arxiv.org/abs/2408.14200