Geodesic
On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2014), pp. 31-43

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

Inverse problems on restoration of coefficients to the differential equations with partial derivatives are of interest in many applied researches. These problems lead to necessity of the approached decision of inverse problems for the equations of mathematical physics which are incorrect in classical sense. In the article the existence, uniqueness and stability of the solution of the given inversion problem for the elliptic equation are proved.
Keywords: inverse problem, successive approximations method, existence and uniqueness of solutions.
Mots-clés : elliptic equation 
@article{VSGTU_2014_3_a2,
     author = {R. A. Aliev},
     title = {On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {31--43},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2014_3_a2/}
}
TY  - JOUR
AU  - R. A. Aliev
TI  - On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2014
SP  - 31
EP  - 43
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2014_3_a2/
LA  - ru
ID  - VSGTU_2014_3_a2
ER  - 
%0 Journal Article
%A R. A. Aliev
%T On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2014
%P 31-43
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2014_3_a2/
%G ru
%F VSGTU_2014_3_a2
R. A. Aliev. On the determination of the unknown coefficients of the highest derivatives in a linear elliptic equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2014), pp. 31-43. http://geodesic.mathdoc.fr/item/VSGTU_2014_3_a2/