Geodesic
The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains
Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 40-57 
P. A. Krutitskii. The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains. Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 40-57. http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a4/
@article{MZM_1996_60_1_a4,
     author = {P. A. Krutitskii},
     title = {The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains},
     journal = {Matemati\v{c}eskie zametki},
     pages = {40--57},
     year = {1996},
     volume = {60},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a4/}
}
TY  - JOUR
AU  - P. A. Krutitskii
TI  - The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains
JO  - Matematičeskie zametki
PY  - 1996
SP  - 40
EP  - 57
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a4/
LA  - ru
ID  - MZM_1996_60_1_a4
ER  - 
%0 Journal Article
%A P. A. Krutitskii
%T The second initial boundary value problem for the gravitation-gyroscopic wave equation in exterior domains
%J Matematičeskie zametki
%D 1996
%P 40-57
%V 60
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a4/
%G ru
%F MZM_1996_60_1_a4

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

We study the existence and uniqueness of the solution to the second initial boundary value problem for the gravitation-gyroscopic wave equation in an exterior multiply connected domain with various types of conditions at infinity.

[1] Gabov S. A., Shevtsov P. V., “Osnovnye kraevye zadachi dlya uravnenii kolebanii stratifitsirovannoi zhidkosti”, Dokl. AN SSSR, 268:6 (1983), 1293–1296 | MR | Zbl

[2] Gabov S. A., Shevtsov P. V., “Ob odnom differentsialnom uravnenii tipa uravneniya S. L. Soboleva”, Dokl. AN SSSR, 276:1 (1984), 14–17 | MR | Zbl

[3] Shevtsov P. V., Osnovnye nachalno-kraevye zadachi dlya odnogo uravneniya sostavnogo tipa, Dep. VINITI, No 3882–83

[4] Uspenskii S. V., Demidenko G. V., Perepelkin V. G., Teoremy vlozheniya i prilozheniya k differentsialnym uravneniyam, Nauka, Novosibirsk, 1984 | Zbl

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

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

[7] Krutitskii P. A., “Yavnoe reshenie zadachi Dirikhle dlya uravneniya sostavnogo tipa mnogosvyaznoi oblasti”, Dokl. RAN, 325:3 (1992), 428–433

[8] Krutitskii P. A., “Ob odnoi nachalno-kraevoi zadache, opisyvayuschei kolebaniya sistemy plastin v stratifitsirovannoi vraschayuscheisya zhidkosti”, Matematicheskii analiz i differents. uravneniya, Izd-vo Novosib. un-ta, Novosibirsk, 1991, 78–88

[9] Krutitskii P. A., Conf. on Evolution Equations, Abstracts of lectures, Strathclyde Univ., Glasgow, 1994, 10

[10] Brekhovskikh A. M., Goncharov V. V., Vvedenie v mekhaniku sploshnykh sred, Nauka, M., 1982

[11] Le Blond P. H., Mysak L. A., Waves in the ocean, Elsevier, Amsterdam, 1978

[12] Krutitskii P. A., “O nachalno-kraevykh zadachakh dlya uravneniya stratifitsirovannoi vraschayuscheisya zhidkosti”, Algebra i matematicheskii analiz, Izd-vo Novosib. un-ta, Novosibirsk, 1990, 40–50 | MR

[13] Vladimirov V. S., Uravneniya matematicheskoi fiziki, Nauka, M., 1981

[14] Sobolev S. L., Izbrannye voprosy teorii funktsionalnykh prostranstv i obobschennykh funktsii, Nauka, M., 1989

[15] Muskhelishvili N. I., Singulyarnye integralnye uravneniya, Nauka, M., 1968

[16] Krutitskii P. A., “Zadacha Dirikhle dlya uravneniya Gelmgoltsa vne razrezov na ploskosti”, ZhVMiMF, 34:8–9 (1994), 1237–1258 | MR

[17] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1984 | Zbl

[18] Krein S. G., Funktsionalnyi analiz, Nauka, M., 1964

[19] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972