Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 236-242
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V. A. Sharafutdinov. Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 236-242. http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a19/
@article{ZNSL_1997_239_a19,
author = {V. A. Sharafutdinov},
title = {Inverse problem on determining a source in the stationary transport equation on a {Riemannian} manifold},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {236--242},
year = {1997},
volume = {239},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a19/}
}
TY - JOUR
AU - V. A. Sharafutdinov
TI - Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 236
EP - 242
VL - 239
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a19/
LA - ru
ID - ZNSL_1997_239_a19
ER -
%0 Journal Article
%A V. A. Sharafutdinov
%T Inverse problem on determining a source in the stationary transport equation on a Riemannian manifold
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 236-242
%V 239
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a19/
%G ru
%F ZNSL_1997_239_a19
On a compact Riemannian manifold the transport equation with unknown right-hand side is given. The right-hand side of the equation is recovered by values of the outcoming flow. Assumptions are formulated under which the uniqueness of a solution to the inverse problem is proved.
