Geodesic
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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     volume = {239},
     year = {1997},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a19/
%G ru
%F ZNSL_1997_239_a19
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/