Geodesic
Solvability conditions of boundary value problems for quasielliptic systems
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 4, pp. 9-26 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper we consider boundary value problems for a class of quasielliptic systems in a half-space. The Lopatinskii condition is assumed to be satisfied. We establish sufficient conditions for the right-hand side of the systems under which the boundary value problems are solvable in $W_p^l(R_n^+)$, $1$. 
@article{VNGU_2007_7_4_a1,
     author = {L. N. Bondar},
     title = {Solvability conditions of boundary value problems for quasielliptic systems},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {9--26},
     year = {2007},
     volume = {7},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a1/}
}
TY  - JOUR
AU  - L. N. Bondar
TI  - Solvability conditions of boundary value problems for quasielliptic systems
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2007
SP  - 9
EP  - 26
VL  - 7
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a1/
LA  - ru
ID  - VNGU_2007_7_4_a1
ER  - 
%0 Journal Article
%A L. N. Bondar
%T Solvability conditions of boundary value problems for quasielliptic systems
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2007
%P 9-26
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a1/
%G ru
%F VNGU_2007_7_4_a1
L. N. Bondar. Solvability conditions of boundary value problems for quasielliptic systems. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 7 (2007) no. 4, pp. 9-26. http://geodesic.mathdoc.fr/item/VNGU_2007_7_4_a1/

[1] Volevich L. R., “Lokalnye svoistva reshenii kvaziellipticheskikh sistem”, Mat. sb., 59:3 (1962), 3–52 | Zbl

[2] Demidenko G. V., “On solvability of boundary value problems for quasi-elliptic systems in $R_n^+$”, J. of Analysis and Applications, 4:1 (2006), 1–11 | DOI | MR | Zbl

[3] Demidenko G. V., “Integralnye operatory, opredelyaemye kvaziellipticheskimi uravneniyami, II”, Sib. mat. zhurn., 35:1 (1994), 41–65 | MR | Zbl

[4] Uspenskii S. V., “O predstavlenii funktsii, opredelyaemykh odnim klassom gipoellipticheskikh operatorov”, Tr. Mat. in-ta im. V. A. Steklova AN SSSR, 117, 1972, 292–299 | MR | Zbl

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

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

[7] Demidenko G. V., “O korrektnoi razreshimosti kraevykh zadach v poluprostranstve dlya kvaziellipticheskikh uravnenii”, Sib. mat. zhurn., 29:4 (1988), 54–67 | MR | Zbl