Geodesic
The regularity of the solutions of inverse problems for the pseudoparabolic equation
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 414-424

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

The paper discusses the regularity of the solutions to the inverse problems on finding unknown coefficients dependent on $t$ in the pseudoparabolic equation of the third order with an additional information on the boundary. By the regularity is meant the continuous dependence of the solution on the input data of the inverse problem. The regularity of the solution is proved for two inverse problems of recovering the unknown coefficient in the second order term and the leader term of the linear pseudoparabolic equation.
Keywords: continuous dependence on the input data, a priori estimate, inverse problem
Mots-clés : pseudoparabolic equation. 
@article{JSFU_2021_14_4_a2,
     author = {Anna Sh. Lyubanova},
     title = {The regularity of the solutions of inverse problems for the pseudoparabolic equation},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {414--424},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a2/}
}
TY  - JOUR
AU  - Anna Sh. Lyubanova
TI  - The regularity of the solutions of inverse problems for the pseudoparabolic equation
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2021
SP  - 414
EP  - 424
VL  - 14
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a2/
LA  - en
ID  - JSFU_2021_14_4_a2
ER  - 
%0 Journal Article
%A Anna Sh. Lyubanova
%T The regularity of the solutions of inverse problems for the pseudoparabolic equation
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2021
%P 414-424
%V 14
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a2/
%G en
%F JSFU_2021_14_4_a2
Anna Sh. Lyubanova. The regularity of the solutions of inverse problems for the pseudoparabolic equation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 414-424. http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a2/