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• W3217575595 abstract "We study the fractional Schrödinger equation with quasilocal perturbations and show that the qualitative unique continuation and Runge approximation properties hold in the assumption of sufficient decay. Quantitative versions of both results are also obtained via a propagation of smallness analysis for the Caffarelli--Silvestre extension. The results are then used to show uniqueness in the inverse problem of retrieving a quasilocal perturbation from Dirichlet-to-Neumann (DN) data under suitable geometric assumptions. Our work generalizes recent results regarding the locally perturbed fractional Calderón problem." @default.
• W3217575595 created "2021-12-06" @default.
• W3217575595 creator A5079144512 @default.
• W3217575595 date "2022-11-21" @default.
• W3217575595 modified "2023-09-26" @default.
• W3217575595 title "Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations" @default.
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• W3217575595 doi "https://doi.org/10.1137/22m1478641" @default.
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