The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform
Ma, S., Sahoo, S. K., & Salo, M. (2024). The anisotropic Calderón problem at large fixed frequency on manifolds with invertible ray transform. Journal of the London Mathematical Society, 110(4), Article e13006. https://doi.org/10.1112/jlms.13006
Julkaistu sarjassa
Journal of the London Mathematical SocietyPäivämäärä
2024Tekijänoikeudet
© 2024 The Author(s). Journal of the London Mathematical Society is copyright © London Mathematical Society.
We consider the inverse problem of recovering a potential from the Dirichlet to Neumann map at a large fixed frequency on certain Riemannian manifolds. We extend the earlier result of Uhlmann and Wang [arXiv:2104.03477] to the case of simple manifolds, and more generally to manifolds where the geodesic ray transform is stably invertible. The argument involves an invariantly formulated construction of Gaussian beam quasimodes with uniform bounds for the underlying constants.
Julkaisija
WileyISSN Hae Julkaisufoorumista
0024-6107Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/243345217
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen Akatemia; Euroopan komissioRahoitusohjelmat(t)
Huippuyksikkörahoitus, SA
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Lisätietoja rahoituksesta
All the authors were partly supported by the Academy of Finland (Centre of Excellence in Inverse Modelling and Imaging, grant 284715) and by the European Research Council under Horizon 2020 (ERC CoG 770924). The research of S. Ma is partially supported by the NSF of China under the grant no. 12301540.Lisenssi
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