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@article{MT_2008_11_1_a8, author = {G. A. Shmyrev}, title = {On behavior at infinity of the solutions to equations with dominating mixed derivative}, journal = {Matemati\v{c}eskie trudy}, pages = {167--191}, publisher = {mathdoc}, volume = {11}, number = {1}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MT_2008_11_1_a8/} }
G. A. Shmyrev. On behavior at infinity of the solutions to equations with dominating mixed derivative. Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 167-191. http://geodesic.mathdoc.fr/item/MT_2008_11_1_a8/
[1] Amanov T. I., Prostranstva differentsiruemykh funktsii s dominiruyuschei smeshannoi proizvodnoi, “Nauka” Kaz. SSR, Alma-Ata, 1976 | MR
[2] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1996 | MR
[3] Demidenko G. V., $L_p$-otsenki reshenii kvaziellipticheskikh uravnenii v $\mathbb R^n$, Preprint, No 4, Izd-vo In-ta matematiki SO RAN, Novosibirsk, 1992 | MR
[4] Demidenko G. V., “O kvaziellipticheskikh operatorakh v $\mathbb R^n$”, Sib. mat. zhurn., 39:5 (1998), 1028–1037 | MR | Zbl
[5] Karapetyan G. A., “O stabilizatsii v beskonechnosti k polinomu reshenii odnogo klassa regulyarnykh uravnenii”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam, Ch. 13, Tr. Mat. in-ta AN SSSR, 187, Nauka, M., 1989, 116–129 | MR
[6] Lizorkin P. I., “Obobschennoe liuvillevskoe differentsirovanie i metod multiplikatorov v teorii vlozhenii klassov differentsiruemykh funktsii”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam, Ch. 3, Tr. Mat. in-ta AN SSSR, 105, Nauka, M., 1969, 89–167 | MR
[7] Lizorkin P. I., Nikolskii S. M., “Klassifikatsiya differentsiruemykh funktsii na osnove prostranstv s dominiruyuschei smeshannoi proizvodnoi”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam, Tr. Mat. in-ta AN SSSR, 77, Nauka, M., 1965, 143–167 | MR
[8] Mikhailov V. P., “O povedenii na beskonechnosti odnogo klassa mnogochlenov”, Granichnye zadachi dlya differentsialnykh uravnenii, Tr. Mat. in-ta AN SSSR, 91, Nauka, M., 1967, 59–80
[9] Nikolskii S. M., “Funktsii s dominiruyuschei smeshannoi proizvodnoi”, Kraevye zadachi dlya uravnenii gipoellipticheskogo i bolee obschego vida, Materialy k Sovetsko-Amerikanskomu simpoziumu po differentsialnym uravneniyam s chastnymi proizvodnymi, Novosibirsk, 1963, 185–190 | MR
[10] Nikolskii S. M., “Variatsionnye zadachi”, Mat. sb., 62(104):1 (1963), 53–75 | MR | Zbl
[11] Sobolev S. L., Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974 | MR
[12] Uspenskii S. V., “O differentsialnykh svoistvakh reshenii odnogo klassa psevdodifferentsialnykh uravnenii na beskonechnosti”, Sib. mat. zhurn., 13:3 (1972), 665–678 | MR | Zbl
[13] Uspenskii S. V., “O predstavlenii funktsii, opredelyaemykh odnim klassom gipoellipticheskikh operatorov”, Issledovaniya po teorii differentsiruemykh funktsii mnogikh peremennykh i ee prilozheniyam, Ch. 4, Tr. Mat. in-ta AN SSSR, 117, Nauka, M., 1972, 292–299 | MR
[14] Uspenskii S. V., Chistyakov B. N., “O vykhode na polinom pri stremlenii $|x|\to\infty$ reshenii odnogo klassa psevdodifferentsialnykh uravnenii”, Sib. mat. zhurn., 16:5 (1975), 1053–1070 | MR | Zbl
[15] Uspenskii S. V., Chistyakov B. N., “O vykhode na polinom reshenii odnogo klassa psevdodifferentsialnykh uravnenii pri stremlenii $|x|\to\infty$”, Teoriya kubaturnykh formul i prilozheniya funktsionalnogo analiza k zadacham matematicheskoi fiziki, Tr. seminara S. L. Soboleva, 1, IM SO AN SSSR, Novosibirsk, 1979, 119–135 | MR
[16] Filatov P. S., “Ravnomernye otsenki reshenii odnogo klassa kvaziellipticheskikh uravnenii na beskonechnosti”, Differentsialnye uravneniya s chastnymi proizvodnymi, Tr. seminara S. L. Soboleva, 2, IM SO AN SSSR, Novosibirsk, 1979, 124–136 | MR
[17] Filatov P. S., “Usloviya ortogonalnosti i povedenie na beskonechnosti reshenii odnogo klassa kvaziellipticheskikh uravnenii”, Sib. mat. zhurn., 29:5 (1988), 226–235 | MR | Zbl
[18] Shmyrëv G. A., “O multi-kvaziellipticheskikh uravneniyakh v $\mathbb R^n$”, Sib. mat. zhurn., 44:5 (2003), 1183–1188 | MR | Zbl
[19] Friberg J., “Multi-quasielliptic polinomials”, Ann. Scuola Norm. Sup. Pisa (3), 21 (1967), 239–260 | MR | Zbl
[20] Uspenskiǐ S. V., “Estimations on the infinity of solutions in one class of semielliptic equations”, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 46 (1969), 641–645 | MR | Zbl