Year: 2014
Type: article
Abstract: We reduce boundary determination of an unknown function and its normal derivatives from the (possibly weighted and attenuated) broken ray data to the injectivity of certain geodesic ray transforms on the boundary.For determination of the values of the function itself we obtain the usual geodesic ray transform, but for derivatives this transform has to be weighted by powers of the second fundamental form.The problem studied here is related to Calderón's problem with partial data.
Author: Joonas Ilmavirta
Institution: University of Jyväskylä
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: Academy of Finland
OpenAlex ID: W2168281147