Decay inside and domain of generalized solutions of boundary-value problems for second-order elliptic equations with oscillatory boundary conditions and right-hand sides
Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 4, pp. 28-36.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{FAA_1981_15_4_a2,
     author = {G. A. Iosif'yan},
     title = {Decay inside and domain of generalized solutions of boundary-value problems for second-order elliptic equations with oscillatory boundary conditions and right-hand sides},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {28--36},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1981_15_4_a2/}
}
TY  - JOUR
AU  - G. A. Iosif'yan
TI  - Decay inside and domain of generalized solutions of boundary-value problems for second-order elliptic equations with oscillatory boundary conditions and right-hand sides
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1981
SP  - 28
EP  - 36
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1981_15_4_a2/
LA  - ru
ID  - FAA_1981_15_4_a2
ER  - 
%0 Journal Article
%A G. A. Iosif'yan
%T Decay inside and domain of generalized solutions of boundary-value problems for second-order elliptic equations with oscillatory boundary conditions and right-hand sides
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1981
%P 28-36
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1981_15_4_a2/
%G ru
%F FAA_1981_15_4_a2
G. A. Iosif'yan. Decay inside and domain of generalized solutions of boundary-value problems for second-order elliptic equations with oscillatory boundary conditions and right-hand sides. Funkcionalʹnyj analiz i ego priloženiâ, Tome 15 (1981) no. 4, pp. 28-36. http://geodesic.mathdoc.fr/item/FAA_1981_15_4_a2/

[1] Vishik M.I., Lyusternik L.A., “Asimptoticheskoe povedenie reshenii differentsialnykh uravnenii s bolshimi ili bystro menyayuschimisya koeffitsientami i granichnymi usloviyami”, UMN, XV:4 (1960), 27–95

[2] Vishik M.I., Lyusternik L.A., “O nekotorykh zadachakh s bystro ostsilliruyuschimi granichnymi usloviyami dlya uravnenii s chastnymi proizvodnymi”, DAN SSSR, 119:4 (1958), 636–639 | Zbl

[3] Toupin R.A., “Saint-Venant's principle”, Arch. Rat. Mech. Anal., 18:2 (1965), 83–96 | DOI | MR | Zbl

[4] Oleinik O.A., Iosifyan G.A., “Printsip Sen-Venana v ploskoi teorii uprugosti i kraevye zadachi dlya bigarmonicheskogo uravneniya v neogranichennykh oblastyakh”, Sib. matem. zh., 15:5 (1978), 1154–1165 | MR

[5] Oleiiik O.A., Iosifyan G.A., “Ob ustranimykh osobennostyakh na granitse oblasti reshenii ellipticheskikh uravnenii”, Funkts. analiz, 11:3 (1977), 54–67 | MR

[6] Sobolev S.L., Nekotorye prilozheniya funktsionalnogo analiza v matematicheskoi fizike, Izd-vo LGU, Leningrad, 1950 | MR

[7] De Giorgi E., “Sulla differenziabilita e l'analiticita delle estremali degli integrali regolari”, Mem. Ace. Sci. Torino, 3 (1957), 1–19 | MR

[8] Kpuzhkov S.N., “Kraevye zadachi dlya vyrozhdayuschikhsya ellipticheskikh uravnenii vtorogo poryadka”, Matem. sb., 77 (1968), 299–334

[9] Riss F., Sekefalvi-Nad B., Lektsii po funktsionalnomu analizu, Mir, M., 1979 | MR

[10] Landis E.M., Oleinik O.A., “Obobschennaya analitichnost i nekotorye svyazannye s nei svoistva reshenii ellipticheskikh i parabolicheskikh uravnenii”, UMN, XXIX:2 (1974), 190–206 | MR

[11] Birman M.Sh., Solomyak M.Z., “Asimptotika spektra differentsialnykh uravnenii”, Itogi nauki i tekhniki, seriya matem. analiz, 14, VINITI, M., 1977, 5–58 | MR