Geodesic
On mixed boundary value problems for pseudoparabolic systems
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 4, pp. 34-50.

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

Solvability analysis of mixed boundary value problems for pseudoparabolic systems in a special scale of weighted Sobolev spaces is presented. The class under consideration contains the linearized Navier–Stokes system. It is proved that, choosing the power weight, one can diminish the number of solvability conditions and in some cases obtain unconditional solvability of the boundary value problems. 
@article{SJIM_2005_8_4_a3,
     author = {G. V. Demidenko and I. I. Matveeva},
     title = {On mixed boundary value problems for pseudoparabolic systems},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {34--50},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2005_8_4_a3/}
}
TY  - JOUR
AU  - G. V. Demidenko
AU  - I. I. Matveeva
TI  - On mixed boundary value problems for pseudoparabolic systems
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2005
SP  - 34
EP  - 50
VL  - 8
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2005_8_4_a3/
LA  - ru
ID  - SJIM_2005_8_4_a3
ER  - 
%0 Journal Article
%A G. V. Demidenko
%A I. I. Matveeva
%T On mixed boundary value problems for pseudoparabolic systems
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2005
%P 34-50
%V 8
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2005_8_4_a3/
%G ru
%F SJIM_2005_8_4_a3
G. V. Demidenko; I. I. Matveeva. On mixed boundary value problems for pseudoparabolic systems. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 4, pp. 34-50. http://geodesic.mathdoc.fr/item/SJIM_2005_8_4_a3/

[1] Demidenko G. V., Uspenskii S. V., Uravneniya i sistemy, ne razreshennye otnositelno starshei proizvodnoi, Nauch. kniga, Novosibirsk, 1998 | MR | Zbl

[2] Aleksandrovskii I. L., “Uslovie razreshimosti pervoi kraevoi zadachi dlya linearizovannoi sistemy Nave–Stoksa”, Sib. mat. zhurn., 39:6 (1998), 1211–1224 | MR | Zbl

[3] Matveeva I. I., “Neobkhodimye i dostatochnye usloviya razreshimosti kraevykh zadach dlya sistem ne tipa Koshi–Kovalevskoi”, Sib. zhurn. industr. matematiki, 4:2 (2001), 184–204 | MR | Zbl

[4] Demidenko G. V., “Zadacha Koshi dlya uravnenii i sistem sobolevskogo tipa”, Kraevye zadachi dlya uravnenii s chastnymi proizvodnymi, izd. In-ta matematiki SO AN SSSR, Novosibirsk, 1986, 69–84 | MR

[5] Matveeva I. I., “On a class of boundary value problems for systems of Sobolev type”, J. Anal. Appl., 3:2 (2005), 129–150 | MR | Zbl

[6] Demidenko G. V., “O vesovykh sobolevskikh prostranstvakh i integralnykh operatorakh, opredelyaemykh kvaziellipticheskimi uravneniyami”, Dokl. RAN, 334:4 (1994), 420–423 | MR | Zbl

[7] Lizorkin P. I., “Obobschennoe liuvillevskoe differentsirovanie i metod multiplikatorov v teorii vlozhenii klassov differentsiruemykh funktsii”, Tr. Mat. in-ta im. V. A. Steklova, 105, 1969, 89–167 | MR | Zbl