Geodesic
Problem of determining the nonstationary potential in a hyperbolic-type equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 2, pp. 220-225
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We solve the problem of determining the hyperbolic equation coefficient depending on two variables. Some additional information is given by the trace of the direct problem solution on the hyperplane $x=0$. We estimate the stability of the solution of the inverse problem under study and prove the uniqueness theorem.
Keywords: inverse problem, hyperbolic equation, stability, uniqueness. 
@article{TMF_2008_156_2_a4,
     author = {D. K. Durdiev},
     title = {Problem of determining the~nonstationary potential in a~hyperbolic-type equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {220--225},
     year = {2008},
     volume = {156},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a4/}
}
TY  - JOUR
AU  - D. K. Durdiev
TI  - Problem of determining the nonstationary potential in a hyperbolic-type equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 220
EP  - 225
VL  - 156
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a4/
LA  - ru
ID  - TMF_2008_156_2_a4
ER  - 
%0 Journal Article
%A D. K. Durdiev
%T Problem of determining the nonstationary potential in a hyperbolic-type equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 220-225
%V 156
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a4/
%G ru
%F TMF_2008_156_2_a4
D. K. Durdiev. Problem of determining the nonstationary potential in a hyperbolic-type equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 2, pp. 220-225. http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a4/

[1] V. G. Romanov, Obratnye zadachi matematicheskoi fiziki, Nauka, M., 1984 | MR | MR | Zbl

[2] V. G. Romanov, Ustoichivost v obratnykh zadachakh, Nauchnyi mir, M., 2005 | MR | Zbl

[3] V. G. Romanov, Diff. uravneniya, 25:2 (1989), 203–209 | MR | Zbl

[4] V. G. Romanov, Dokl. AN SSSR, 304:4 (1989), 807–811 | MR | Zbl

[5] D. K. Durdiev, Sib. matem. zhurn., 35:3 (1994), 574–582 | DOI | MR | Zbl

[6] G. V. Dyatlov, Sib. matem. zhurn., 42:1 (2001), 52–59 | DOI | MR | Zbl