X-ray Tomography of One-forms with Partial Data
Finna-arvio
X-ray Tomography of One-forms with Partial Data
2006.05790.pdf
(Jyväskylän yliopisto - JYX)
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.
Tallennettuna:
Kieli |
englanti |
---|---|
Sarja | SIAM Journal on Mathematical Analysis, 3 |
Aiheet | |
ISSN |
0036-1410 |