Geodesic
Solvability of the Neumann problem for a Sobolev pseudoparabolic equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1273-1282 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The dynamic potential constructed in this paper is used to analyze the existence of a classical solution to the Neumann problem for a Sobolev equation. 
@article{ZVMMF_2006_46_7_a11,
     author = {A. B. Alshin and M. A. Istomina},
     title = {Solvability of the {Neumann} problem for {a~Sobolev} pseudoparabolic equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1273--1282},
     year = {2006},
     volume = {46},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a11/}
}
TY  - JOUR
AU  - A. B. Alshin
AU  - M. A. Istomina
TI  - Solvability of the Neumann problem for a Sobolev pseudoparabolic equation
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2006
SP  - 1273
EP  - 1282
VL  - 46
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a11/
LA  - ru
ID  - ZVMMF_2006_46_7_a11
ER  - 
%0 Journal Article
%A A. B. Alshin
%A M. A. Istomina
%T Solvability of the Neumann problem for a Sobolev pseudoparabolic equation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 1273-1282
%V 46
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a11/
%G ru
%F ZVMMF_2006_46_7_a11
A. B. Alshin; M. A. Istomina. Solvability of the Neumann problem for a Sobolev pseudoparabolic equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1273-1282. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a11/

[1] Sobolev S. L., “Ob odnoi novoi zadache matematicheskoi fiziki”, Izv. AN SSSR. Ser. Matem., 18:1 (1954), 3–50 | MR | Zbl

[2] Gabov S. A., Sveshnikov A. G., Zadachi dinamiki stratifitsirovannykh zhidkostei, Nauka, M., 1986 | MR

[3] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[4] Kapitonov B. V., “Teoriya potentsiala dlya uravneniya malykh kolebanii vraschayuscheisya zhidkosti”, Matem. sb., 109:4 (1979), 607–628 | MR | Zbl

[5] Skazka V. V., “Asimptotika pri $t\to\infty$ reshenii odnoi zadachi matematicheskoi fiziki”, Matem. sb., 126:1 (1985), 3–40 | MR | Zbl

[6] Gabov S. A., “Uglovoi potentsial dlya uravneniya S. L. Soboleva i ego prilozheniya”, Dokl. AN SSSR, 278:3 (1984), 527–530 | MR | Zbl

[7] Gabov S. A., Pletner Yu. D., “K zadache Dirikhle dlya uravneniya gravitatsionno-giroskopicheskikh voln”, Dokl. AN SSSR, 295:2 (1987), 272–275 | MR

[8] Pletner Yu. D., “K zadache o gravitatsionno-giroskopicheskikh volnakh, vyzvannykh ostsillyatsiyami pryamolineinogo otrezka”, Zh. vychisl. matem. i matem. fiz., 28:4 (1988), 524–533 | MR | Zbl

[9] Korpusov M. O., Pletner Yu. D., Sveshnikov A. G., “O razreshimosti odnoi nachalno-kraevoi zadachi dlya uravneniya vnutrennikh voln”, Zh. vychisl. matem. i matem. fiz., 37:5 (1997), 617–620 | MR | Zbl

[10] Gabov S. A., “Matematicheskie osnovy lineinoi teorii ionno-zvukovykh voln v nezamagnichennoi plazme”, Matem. modelirovanie, 1:12 (1989), 133–148 | MR | Zbl

[11] Alshin A. B., Pletner Yu. D., Sveshnikov A. G., “Odnoznachnaya razreshimost zadachi Dirikhle dlya uravneniya ionno-zvukovykh voln v plazme”, Dokl. RAN, 361:6 (1998), 749–751 | MR

[12] Alshin A. B., Alshina E. A., “Chislennoe reshenie nachalno-kraevykh zadach dlya uravnenii Sobolevskogo tipa metodom dinamicheskikh potentsialov”, Radiotekhn. i elektronika, 50:2 (2005), 1–7

[13] Korpusov M. O., Sveshnikov A. G., “Trekhmernye nelineinye evolyutsionnye uravneniya psevdoparabolicheskogo tipa v zadachakh matematicheskoi fiziki”, Zh. vychisl. matem. i matem. fiz., 43:12 (2003), 1825–1834 | MR

[14] Ditkin V. A., Prudnikov A. P., Integralnye preobrazovaniya i operatsionnoe ischislenie, Nauka, M., 1974 | MR | Zbl

[15] Beitmen G., Erdeii A., Tablitsy integralnykh preobrazovanii (v dvukh tomakh), Nauka, M., 1969

[16] Sveshnikov A. G., Tikhonov A. N., Teoriya funktsii kompleksnoi peremennoi, Fizmatlit, M., 2004