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X-RAY TOMOGRAPHY OF ONE-FORMS WITH PARTIAL DATA.
- Source :
-
SIAM Journal on Mathematical Analysis . 2021, Vol. 53 Issue 3, p3002-3015. 14p. - Publication Year :
- 2021
-
Abstract
- If the integrals of a one-form over all lines meeting a small open set vanish and the form is closed in this set, then the one-form is exact in the whole Euclidean space. We obtain a unique continuation result for the normal operator of the x-ray transform of one-forms, and this leads to one of our two proofs of the partial data result. Our proofs apply to compactly supported covector-valued distributions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *X-rays
*TOMOGRAPHY
*VECTOR fields
*INVERSE problems
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 53
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 151368253
- Full Text :
- https://doi.org/10.1137/20M1344779