On a~linear inverse problem for a~second-order parabolic equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 1, pp. 3-12.

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

The question is studied of existence and uniqueness of a solution to the inverse problem of finding the right-hand side of a special kind for a second-order parabolic equation.
@article{SJIM_2006_9_1_a0,
     author = {N. L. Abasheieva},
     title = {On a~linear inverse problem for a~second-order parabolic equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a0/}
}
TY  - JOUR
AU  - N. L. Abasheieva
TI  - On a~linear inverse problem for a~second-order parabolic equation
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2006
SP  - 3
EP  - 12
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a0/
LA  - ru
ID  - SJIM_2006_9_1_a0
ER  - 
%0 Journal Article
%A N. L. Abasheieva
%T On a~linear inverse problem for a~second-order parabolic equation
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2006
%P 3-12
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a0/
%G ru
%F SJIM_2006_9_1_a0
N. L. Abasheieva. On a~linear inverse problem for a~second-order parabolic equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/SJIM_2006_9_1_a0/

[1] Anikonov Yu. E., Vishnevskii M. P., “Formuly v obratnoi zadache dlya evolyutsionnogo uravneniya”, Sib. mat. zhurn., 37:5 (1996), 963–976 | MR | Zbl

[2] Prilepko A. I., Kostin A. B., “O nekotorykh obratnykh zadachakh dlya parabolicheskikh uravnenii s finalnym i integralnym nablyudeniem”, Mat. sb., 183:4 (1992), 49–68 | MR | Zbl

[3] Prilepko A. I., Kostin A. B., “Ob obratnykh zadachakh opredeleniya koeffitsienta v parabolicheskom uravnenii, II”, Sib. mat. zhurn., 34:5 (1993), 147–162 | MR | Zbl

[4] Belov Yu. Ya., “Inverse problems for parabolic equations”, J. Inverse Ill-Posed Probl., 1:4 (1993), 283–301 | MR

[5] Kozhanov A. I., Composite Type Equations and Inverse Problems, VSP, Utrecht, 1999 | MR | Zbl

[6] Rundell W., “Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data”, Appl. Anal., 10 (1980), 231–242 | DOI | MR | Zbl

[7] Pyatkov S. G., “Solvability of some inverse problems for parabolic equations”, J. Inverse Ill-Posed Probl., 12:4 (2004), 397–412 | DOI | MR | Zbl

[8] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[9] Tribel Kh., Teoriya interpolyatsii. Funktsionalnye prostranstva. Differentsialnye operatory, Mir, M., 1980 | MR