Geodesic
Radiation principles for higher-order elliptic equations in a tube domain
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 1, pp. 73-91 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1996_36_1_a4,
     author = {B. A. Iskenderov},
     title = {Radiation principles for higher-order elliptic equations in a tube domain},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {73--91},
     year = {1996},
     volume = {36},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a4/}
}
TY  - JOUR
AU  - B. A. Iskenderov
TI  - Radiation principles for higher-order elliptic equations in a tube domain
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1996
SP  - 73
EP  - 91
VL  - 36
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a4/
LA  - ru
ID  - ZVMMF_1996_36_1_a4
ER  - 
%0 Journal Article
%A B. A. Iskenderov
%T Radiation principles for higher-order elliptic equations in a tube domain
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1996
%P 73-91
%V 36
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a4/
%G ru
%F ZVMMF_1996_36_1_a4
B. A. Iskenderov. Radiation principles for higher-order elliptic equations in a tube domain. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 1, pp. 73-91. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_1_a4/

[1] Vainberg B. R., Asimptoticheskie metody v uravneniyakh matematicheskoi fiziki, Izd-vo MGU, M., 1982 | MR | Zbl

[2] Brekhovskikh L. M., Volny v sloistykh sredakh, Nauka, M., 1973

[3] Sveshnikov A. G., “Printsip izlucheniya”, Dokl. AH CCCP, 73:5 (1950), 917–920 | Zbl

[4] Akimov A. B., Iskenderov B. A., “Printsip predelnogo pogloscheniya, predelnoi amplitudy i partsialnye usloviya izlucheniya dlya kraevoi zadachi v $n$-mernom sloe dlya uravneniya Gelmgoltsa”, Differents. ur-niya, 13:8 (1977), 1503–1505 | MR

[5] Sveshnikov A. G., “Printsip predelnogo pogloscheniya dlya volnovoda”, Dokl. AH CCCP, 80:3 (1951), 345–347 | Zbl

[6] Abbasov Z. G., Iskenderov B. A., Eivazov E. Kh., “Printsipy izlucheniya dlya uravneniya Gelmgoltsa v tsilindricheskoi oblasti”, Dokl. AN AzerbSSR, 36:4 (1980), 8–11 | MR | Zbl

[7] Iskenderov B. A., “Principles of radiation for elliptic equation in the cylindrical domain”, Colloquia Math. Soc. Janos Bolyai, Szeged, Hungary, 1988, 249–261 | MR

[8] Fedoryuk M. B., “Uravnenie Gelmgoltsa v volnovode (otgonka kraevogo usloviya ot beskonechnosti)”, Zh. vychisl. matem. i matem. fiz., 12:2 (1972), 374–387

[9] Favorin V. M., “O povedenii pri $t\to+\infty$ resheniya vtoroi smeshannoi zadachi dlya trekhmernogo volnovogo uravneniya v tsilindricheskoi po prostranstvennym peremennym oblasti”, Dokl. AH CCCP, 252:6 (1980), 1333–1336 | MR | Zbl

[10] Iskenderov B. A., Mekhtieva A. I., “Printsipy izlucheniya dlya uravneniya Gelmgoltsa v mnogomernom sloe s impedansnymi kraevymi usloviyami”, Differents. ur-niya, 29:8 (1993), 1662–1664 | MR

[11] Iskenderov B. A., Eivazov E. Kh., Efendieva A. N., “Printsipy izlucheniya dlya ellipticheskogo uravneniya vysokogo poryadka v tsilindricheskoi oblasti”, Differents. ur-niya, 23:10 (1987), 1804–1807 | MR | Zbl

[12] Iskenderov B. A., “Principles of radiation for elliptic equation of higher order in the cylindrical domain”, 7th Czechoslovak Conf. on Different. Equat. and Applic. (Praha, 1989), 21

[13] Ramm A. G., Werner P., “On the limit amplitude principle for a layer”, J. Reine Angew. Math., 360 (1985), 19–46 | MR | Zbl

[14] Werner P., “Resonance phenomena in cylindrical waveguides”, J. Math. Analys. and Appl., 121 (1987), 173–214 | DOI | MR | Zbl

[15] Lesky P., “Resonance phenomena for a class of partial differential equation of higher order in cylindrical waveguides”, Math. Methods Appl. Sci., 11 (1989), 697–723 | DOI | MR | Zbl

[16] Mazya V. G., Plamenevskii B. A., “Otsenki v $L_p$ i v klassakh Geldera i printsip maksimuma Miranda–Agmona dlya resheniya ellipticheskikh kraevykh zadach v oblastyakh s osobymi tochkami na granitse”, Math. Nachr., 81 (1978), 25–82 | DOI

[17] Amick C. J., “On the Dirichlet problem for infinite cylinders and equations with transvercely equations”, J. Different. Equat., 30 (1978), 248–279 | DOI | MR | Zbl

[18] Mikhlin S. G., Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1957 | MR | Zbl

[19] Nikiforov A. F., Uvarov V. B., Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1978 | MR

[20] Shilov G. E., Matematicheskii analiz (Vtoroi spetskurs), Nauka, M., 1965

[21] Shvarts L., Matematicheskie metody dlya fizicheskikh nauk, Mir, M., 1965 | MR

[22] Polia G., Sege G., Zadachi i teoremy iz analiza, v. II, Gostekhizdat, M., 1958