Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1995_45_1_a4, author = {S. D. Troitskaya}, title = {On~non-almost-periodicity of solutions of the {Sobolev} problem in domains with edges}, journal = {Izvestiya. Mathematics }, pages = {97--124}, publisher = {mathdoc}, volume = {45}, number = {1}, year = {1995}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a4/} }
S. D. Troitskaya. On~non-almost-periodicity of solutions of the Sobolev problem in domains with edges. Izvestiya. Mathematics , Tome 45 (1995) no. 1, pp. 97-124. http://geodesic.mathdoc.fr/item/IM2_1995_45_1_a4/
[1] S. L. Sobolev, “Ob odnoi novoi zadache matematicheskoi fiziki”, Izv. AN SSSR. Ser. matem., 18:1 (1954), 3–50 | MR | Zbl
[2] T. I. Zelenyak, Izbrannye voprosy kachestvennoi teorii uravnenii s chastnymi proizvodnymi, Izd-vo NGU, Novosibirsk, 1970
[3] V. N. Maslennikova, A. I. Giniatullin, “Spektralnye svoistva operatorov dlya sistem gidrodinamiki vraschayuscheisya zhidkosti i needinstvennost predelnoi amplitudy”, Sib. matem. zhurnal, 29:5 (1988), 151–171 | MR
[4] J. V. Ralston, “On stationary models in inviscid rotating fluids”, J. of Math. Anal. and Appl., 44:2 (1973), 366–383 | DOI | MR | Zbl
[5] John Fritz, “The Dirichlet problem for a hyperbolic equation”, Amer. Journal of Math., 63:1 (1941), 141–154 | DOI | MR | Zbl
[6] P. G. Bourgin, R. Duffin, “The Dirichlet problem for the vibrating string equation”, Bull. of the American Math. Soc., 45:12, part 1 (1939), 851–859 | DOI | MR
[7] Yu. M. Berezanskii, “O zadache tipa Dirikhle dlya uravneniya kolebaniya struny”, Ukr. matem. zhurnal, 12:4 (1960), 363–372 | MR
[8] R. A. Aleksandryan, K voprosu o zavisimosti pochti periodichnosti reshenii differentsialnykh uravnenii ot vida oblasti, Dis. ... kand. fiz.-matem. nauk, MGU, M., 1949
[9] R. A. Aleksandryan, “Spektralnye svoistva operatorov, porozhdennykh sistemami differentsialnykh uravnenii tipa S. L. Soboleva”, Tr. Mosk. matem. o-va, 9, 1960, 455–505 | Zbl
[10] T. I. Zelenyak, B. V. Kapitonov, V. V. Skazka, M. V. Fokin, O probleme S. L. Soboleva v teorii malykh kolebanii vraschayuscheisya zhidkosti, Preprint No 471, VTs SO AN SSSR, Novosibirsk, 1983
[11] R. A. Aleksandryan, Yu. M. Berezanskii, V. A. Ilin, A. G. Kostyuchenko, “Nekotorye voprosy spektralnoi teorii dlya uravnenii s chastnymi proizvodnymi”, Trudy simpoziuma, posvyaschennogo 60-letiyu akad. S. L. Soboleva, Nauka, M., 1970, 3–35
[12] R. Denchev, “O spektre odnogo operatora”, DAN SSSR, 126:2 (1959), 259–262 | Zbl
[13] M. V. Fokin, “O spektre odnogo operatora”, Dinamika sploshnoi sredy, 16, Novosibirsk, 1974, 107–111 | MR
[14] S. D. Troitskaya, “O zavisimosti spektra zadachi S. L. Soboleva ot geometrii oblasti”, Izbrannye voprosy algebry, geometrii i diskretnoi matematiki, MGU, M., 1992, 138–147
[15] S. D. Troitskaya, “O spektre odnoi zadachi S. L. Soboleva”, Uspekhi matem. nauk, 47:5 (1992), 191–192 | MR | Zbl
[16] S. D. Troitskaya, Nekotorye spektralnye svoistva zadachi o malykh kolebaniyakh vraschayuscheisya zhidkosti, Dis. ... kand. fiz.-matem. nauk, MGU, M., 1992
[17] A. M. Gomilko, “O nepreryvnom spektre odnoi zadachi gidromekhaniki”, Uspekhi matem. nauk, 36:5 (1981), 169–170 | MR | Zbl
[18] S. L. Sobolev, Uravneniya matematicheskoi fiziki, Nauka, M., 1966 | MR
[19] A. A. Lyashenko, “O ne pochti periodichnosti resheniya uravneniya S. L. Soboleva”, DAN SSSR, 278:4 (1984), 803–806 | MR | Zbl
[20] X. Grinspen, Teoriya vraschayuschikhsya zhidkostei, Gidrometeoizdat, L., 1975
[21] A. V. Bitsadze, Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981 | MR