Stability estimates in tensor tomography

Jan Boman; Vladimir Sharafutdinov

doi:10.3934/ipi.2018052

Stability estimates in tensor tomography

Jan Boman, Vladimir Sharafutdinov

Кафедра геометрии и топологии ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

5 Цитирования (Scopus)

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
Страницы (с-по)	1245-1262
Число страниц	18
Журнал	Inverse Problems and Imaging
Том	12
Номер выпуска	5
DOI	https://doi.org/10.3934/ipi.2018052
Состояние	Опубликовано - окт 2018

Доступ к документу

10.3934/ipi.2018052

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