Аннотация
We study the X-ray transform I of symmetric tensor fields on a smooth convex bounded domain Ω ⊂ ℝn. The main result is the stability estimate (Formula Presented), where sf is the solenoidal part of the tensor field f. The proof is based on a comparison of the Dirichlet integrals for the exterior and interior Dirichlet problems and on a generalization of the Korn inequality to symmetric tensor fields of arbitrary rank.
Язык оригинала | английский |
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Страницы (с-по) | 1245-1262 |
Число страниц | 18 |
Журнал | Inverse Problems and Imaging |
Том | 12 |
Номер выпуска | 5 |
DOI | |
Состояние | Опубликовано - окт 2018 |