Geodesic
On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 2, pp. 219-232

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

This paper concerns the solution of the inverse boundary value problem for the equation of thermal conductivity and the estimation of the approximate solution error. The Fourier transform with respect to time, which allows one to obtain an error estimate, is not applicable to the problem to be solved. Therefore, in the equation of thermal conductivity, the variable was replaced, which led to the synthesis of problems and allowed obtaining an estimate. 
@article{SJVM_2020_23_2_a8,
     author = {V. P. Tanana},
     title = {On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {219--232},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2020_23_2_a8/}
}
TY  - JOUR
AU  - V. P. Tanana
TI  - On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2020
SP  - 219
EP  - 232
VL  - 23
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2020_23_2_a8/
LA  - ru
ID  - SJVM_2020_23_2_a8
ER  - 
%0 Journal Article
%A V. P. Tanana
%T On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2020
%P 219-232
%V 23
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2020_23_2_a8/
%G ru
%F SJVM_2020_23_2_a8
V. P. Tanana. On reducing the inverse boundary value problem to the synthesis of two ill-posed problems and their solution. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 23 (2020) no. 2, pp. 219-232. http://geodesic.mathdoc.fr/item/SJVM_2020_23_2_a8/