Geodesic
Inverse problems of the determination of external sources in the equation of longitudinal wave propagation
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 3, pp. 28-40

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

We consider inverse problems for the equation of longitudinal wave propagation with overdetermination conditions of final and integral types. The main purpose of the research is the proof of the existence of regular solutions to the inverse determination problems together with the solution of the also unknown external sources. One of the proposed approaches is based on the reduction of the inverse problem to an integro-differential equation.
Keywords: equation of longitudinal wave propagation, inverse problem, integro-differential equation, a priori estimate, regular solution, uniqueness.
Mots-clés : existence 
@article{SJIM_2016_19_3_a2,
     author = {G. V. Namsaraeva},
     title = {Inverse problems of the determination of external sources in the equation of longitudinal wave propagation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {28--40},
     publisher = {mathdoc},
     volume = {19},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2016_19_3_a2/}
}
TY  - JOUR
AU  - G. V. Namsaraeva
TI  - Inverse problems of the determination of external sources in the equation of longitudinal wave propagation
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2016
SP  - 28
EP  - 40
VL  - 19
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2016_19_3_a2/
LA  - ru
ID  - SJIM_2016_19_3_a2
ER  - 
%0 Journal Article
%A G. V. Namsaraeva
%T Inverse problems of the determination of external sources in the equation of longitudinal wave propagation
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2016
%P 28-40
%V 19
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2016_19_3_a2/
%G ru
%F SJIM_2016_19_3_a2
G. V. Namsaraeva. Inverse problems of the determination of external sources in the equation of longitudinal wave propagation. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 3, pp. 28-40. http://geodesic.mathdoc.fr/item/SJIM_2016_19_3_a2/