Functionals on solutions of the Cauchy problem for the Schrödinger
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 9, pp. 1654-1673 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_9_a11,
     author = {V. Zh. Sakbaev},
     title = {Functionals on solutions of the {Cauchy} problem for the {Schr\"odinger}},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1654--1673},
     year = {2004},
     volume = {44},
     number = {9},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_9_a11/}
}
TY  - JOUR
AU  - V. Zh. Sakbaev
TI  - Functionals on solutions of the Cauchy problem for the Schrödinger
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 1654
EP  - 1673
VL  - 44
IS  - 9
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_9_a11/
LA  - ru
ID  - ZVMMF_2004_44_9_a11
ER  - 
%0 Journal Article
%A V. Zh. Sakbaev
%T Functionals on solutions of the Cauchy problem for the Schrödinger
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 1654-1673
%V 44
%N 9
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_9_a11/
%G ru
%F ZVMMF_2004_44_9_a11
V. Zh. Sakbaev. Functionals on solutions of the Cauchy problem for the Schrödinger. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 9, pp. 1654-1673. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_9_a11/

[1] Fikera G., “K edinoi teorii kraevykh zadach dlya elliptiko-parabolicheskikh uravnenii vtorogo poryadka”, Matematika, 7:6 (1963), 99–121

[2] Sakbaev V. Zh., “O postanovke zadachi Koshi dlya uravneniya Shrëdingera, vyrozhdayuschegosya na poluprostranstve”, Zh. vychisl. matem. i matem. fiz., 42:11 (2002), 161–178 | MR

[3] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Nauka, M., 1971 | Zbl

[4] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, v. 1, Mir, M., 1977 | MR

[5] Berezin F. A., Shubin M. A., Uravnenie Shrëdingera, Nauka, M., 1983 | MR | Zbl

[6] Ladyzhenskaya O. A., “Ob uravneniyakh s malym parametrom pri starshikh proizvodnykh v lineinykh differentsialnykh uravneniyakh s chastnymi proizvodnymi”, Vestn. LGU, 1957, no. 7, 104–120 | Zbl

[7] Ilin A. M., “Vyrozhdayuschiesya ellipticheskie i parabolicheskie uravneniya”, Matem. sb., 50:4 (1960), 443–498

[8] N. S. Bakhvalov (red.), Trudy S. N. Kruzhkova, Sbornik statei, Fizmatlit, M., 2000, 14–38; 39–45; 99–153; 287–316

[9] Zhikov V. V., “K probleme predelnogo perekhoda v divergentnykh neravnomerno ellipticheskikh uravneniyakh”, Funkts. analiz i ego prilozh., 35:1 (2001), 23–39 | MR | Zbl

[10] Venttsel A. D., Freidlin M. I., Fluktuatsii v dinamicheskikh sistemakh pod deistviem malykh sluchainykh vozmuschenii, Nauka, M., 1979 | MR | Zbl

[11] Freidlin M. I., “O stokhasticheskikh uravneniyakh Ito i vyrozhdayuschikhsya ellipticheskikh uravneniyakh”, Izv. AN SSSR. Ser. matem., 26 (1962), 653–676 | MR

[12] Freidlin M. I., “Markovskie protsessy i differentsialnye uravneniya”, Itogi nauki. Ser. Teoriya veroyatnosti i matematicheskaya statistika. Teoreticheskaya kibernetika, VINITI, M., 1967, 7–58 | MR

[13] Freidlin M. I., “Diffuzionnye protsessy i malyi parametr v ellipticheskikh uravneniyakh s razryvnymi koeffitsientami”, Izv. AN SSSR. Ser. matem., 29 (1965), 1005–1036 | MR | Zbl

[14] Daletskii Yu. A., “O predstavimosti reshenii operatornykh uravnenii v vide kontinualnykh integralov”, Dokl. AN SSSR. Ser. matem., 134:5 (1960), 1013–1016

[15] Billingslei P., Skhodimost veroyatnostnykh mer, Nauka, M., 1977 | MR

[16] Tartar L., “$H$-measures, a new approach for studying homogenization, oscillation and concentration effects in partial differential equations”, The Roy. Soc. Edinburgh. Proc. Sect. A (Math.), 115:3/4 (1990), 193–230 | MR | Zbl

[17] Gerard P., “Microlocal defect measures”, Communs Part. Difference Equation, 16:11 (1991), 1761–1794 | DOI | MR | Zbl

[18] Gitman D. M., Tyutin I. D., Kanonicheskoe kvantovanie polei so svyazyami, Nauka, M., 1986 | MR | Zbl

[19] Mikhlin S. G., Lineinye differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1965 | Zbl

[20] Naimark M. A., Normirovannye koltsa, Nauka, M., 1968 | MR

[21] Sekefalvi-Nad B., Foyash Ch., Garmonicheskii analiz, Mir, M., 1970

[22] Lyusternik L. A., Sobolev V. I., Kratkii kurs funktsionalnogo analiza, Vyssh. shkola, M., 1982 | MR | Zbl

[23] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1969 | MR

[24] Slobodetskii L. N., “Obobschennye prostranstva S. L. Soboleva i ikh prilozhenie k kraevym zadacham dlya differentsialnykh uravnenii v chastnykh proizvodnykh”, Uch. zap. Leningradskogo gos. ped. in-ta, 197, L., 1958, 54–112

[25] Kholevo A. S., Veroyatnostnye i statisticheskie aspekty kvantovoi mekhaniki, Nauka, M., 1982

[26] Natanson I. P., Teoriya funktsii veschestvennoi peremennoi, Nauka, M., 1974 | MR

[27] Kozlov V. V., “Dinamika sistem s neintegriruemymi svyazyami, Ch. III”, Vestn. MGU. Ser. 1. Matem., mekhan., 1983, no. 3, 102–111 | Zbl