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- W4286901285 abstract "We study the inverse problem of determining the coefficients of the fractional power of a general second order elliptic operator given in the exterior of an open subset of the Euclidean space. We show the problem can be reduced into determining the coefficients from the boundary Cauchy data of the elliptic operator on the open set, the Calder'{o}n problem. As a corollary we establish several new results for nonlocal inverse problems by using the corresponding results for the local inverse problems. In particular the isotropic nonlocal Calder'{o}n problem can be resolved completely, assuming some regularity assumptions on the coefficients, and the anisotropic Calder'{o}n problem modulo an isometry which is the identity at the boundary for real-analytic anisotropic conductivities in dimension greater than two and bounded and measurable anisotropic conductivities in two dimensions." @default.
- W4286901285 created "2022-07-25" @default.
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- W4286901285 date "2021-10-18" @default.
- W4286901285 modified "2023-09-27" @default.
- W4286901285 title "The Calder'{o}n problem for nonlocal operators" @default.
- W4286901285 doi "https://doi.org/10.48550/arxiv.2110.09265" @default.
- W4286901285 hasPublicationYear "2021" @default.
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