@article{SM_1992_73_1_a2,
author = {V. A. Kozlov and V. G. Maz'ya},
title = {On the spectrum of the operator pencil generated by the {Dirichlet} problem in a~cone},
journal = {Sbornik. Mathematics},
pages = {27--48},
year = {1992},
volume = {73},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_73_1_a2/}
}
V. A. Kozlov; V. G. Maz'ya. On the spectrum of the operator pencil generated by the Dirichlet problem in a cone. Sbornik. Mathematics, Tome 73 (1992) no. 1, pp. 27-48. http://geodesic.mathdoc.fr/item/SM_1992_73_1_a2/
[1] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi ili uglovymi tochkami”, Tr. MMO, 16 (1967), 209–292
[2] Kozlov V. A., Mazya V. G., “Spektralnye svoistva operatornykh puchkov, porozhdennykh ellipticheskimi kraevymi zadachami v konuse”, Funktsion. analiz i ego pril., 22:2 (1988), 38–46 | MR | Zbl
[3] Nečas J., “Sur la coercivité des formes sesquilinéaires elliptiques”, Rev. Math. Pures Appl., 9 (1964), 47–69 | MR
[4] Mazya V. G., Nazarov S. A., Plamenevskii B. A., “Ob osobennostyakh reshenii zadachi Dirikhle vo vneshnosti tonkogo konusa”, Matem. sb., 122 (164) (1983), 435–457 | MR
[5] Kozlov V. A., “O spektre operatornogo puchka, porozhdennogo zadachei Dirikhle dlya ellipticheskogo uravneniya v ugle”, Matem. zametki, 45:5 (1989), 117–118 | MR | Zbl
[6] Ion F., Ploskie volny i sfericheskie srednie, Izd-vo IL, M., 1958
[7] Gelfand I. M., Obobschennye funktsii i deistviya nad nimi, Fizmatgiz, M., 1958
[8] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | MR | Zbl
[9] Beitmen G., Erdeii A., Preobrazovaniya Besselya. Integraly ot spetsialnykh funktsii, Nauka, M., 1970
[10] Mazya V. G., Plamenevskii B. A., “Vesovye prostranstva s neodnorodnymi normami i kraevye zadachi v oblastyakh s konicheskimi tochkami”, Zap. nauchn. seminarov LOMI, 1978, 161–190 | MR
[11] Gokhberg I. Ts., Sigal E. I., “Operatornoe obobschenie teoremy o logarifmicheskom vychete i teoremy Rushe”, Matem. sb., 84 (126) (1971), 607–629 | Zbl