Enviar artigo por via de e-mail The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields
- Autores: Svetov I.E.1,2, Polyakova A.P.1,2, Maltseva S.V.1,2,3
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Lavrent’ev Institute of Hydrodynamics
- Edição: Volume 13, Nº 1 (2019)
- Páginas: 157-167
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213153
- DOI: https://doi.org/10.1134/S1990478919010162
- ID: 213153
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Resumo
Two approaches are proposed for recovering a symmetric m-tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the potentials of the solenoidal part and m potential parts of the tensor field.
Sobre autores
I. Svetov
Sobolev Institute of Mathematics; Novosibirsk State University
Autor responsável pela correspondência
Email: svetovie@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
A. Polyakova
Sobolev Institute of Mathematics; Novosibirsk State University
Autor responsável pela correspondência
Email: apolyakova@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
S. Maltseva
Sobolev Institute of Mathematics; Novosibirsk State University; Lavrent’ev Institute of Hydrodynamics
Autor responsável pela correspondência
Email: maltsevasv@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090; pr. Akad. Lavrent’eva 15, Novosibirsk, 630090
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