Geodesic
Problem without Initial Conditions for the Heat Equation
Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 824-832 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider an exterior problem without initial conditions for a class of equations of parabolic type. An existence and uniqueness theorem for the solution of this problem is proved. In the proof, Hardy's inequality for function spaces with derivatives of nonintegral order (a result obtained earlier by the author) is essentially used. 
@article{MZM_2004_76_6_a2,
     author = {R. V. Guseinov},
     title = {Problem without {Initial} {Conditions} for the {Heat} {Equation}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {824--832},
     year = {2004},
     volume = {76},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a2/}
}
TY  - JOUR
AU  - R. V. Guseinov
TI  - Problem without Initial Conditions for the Heat Equation
JO  - Matematičeskie zametki
PY  - 2004
SP  - 824
EP  - 832
VL  - 76
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a2/
LA  - ru
ID  - MZM_2004_76_6_a2
ER  - 
%0 Journal Article
%A R. V. Guseinov
%T Problem without Initial Conditions for the Heat Equation
%J Matematičeskie zametki
%D 2004
%P 824-832
%V 76
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a2/
%G ru
%F MZM_2004_76_6_a2
R. V. Guseinov. Problem without Initial Conditions for the Heat Equation. Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 824-832. http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a2/

[1] Tikhonov A. N., “Teoremy edinstvennosti dlya uravneniya teploprovodnosti”, Matem. sb., 42:2 (1935), 199–216

[2] Shmulev I. I., “Ogranichennye resheniya kraevykh zadach bez nachalnykh uslovii dlya parabolicheskikh uravnenii i obratnye kraevye zadachi”, Dokl. AN SSSR, 142:1 (1962), 46–49 | MR | Zbl

[3] Bokalo N. M., “O zadache bez nachalnykh uslovii dlya nekotorykh klassov nelineinykh parabolicheskikh uravnenii”, Tr. sem. im. I. G. Petrovskogo, no. 14, Izd-vo Mosk. un-ta, M., 1989, 3–44 | MR | Zbl

[4] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964