Existence of boundary values for biharmonic functions
Sbornik. Mathematics, Tome 195 (2004) no. 12, pp. 1781-1793 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Criteria for the existence of an $L_2$-limit and a weak $L_2$-limit of a biharmonic function at the regular analytic boundary of a bounded two-dimensional domain are established.
@article{SM_2004_195_12_a4,
     author = {V. P. Mikhailov},
     title = {Existence of boundary values for biharmonic functions},
     journal = {Sbornik. Mathematics},
     pages = {1781--1793},
     year = {2004},
     volume = {195},
     number = {12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_12_a4/}
}
TY  - JOUR
AU  - V. P. Mikhailov
TI  - Existence of boundary values for biharmonic functions
JO  - Sbornik. Mathematics
PY  - 2004
SP  - 1781
EP  - 1793
VL  - 195
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/SM_2004_195_12_a4/
LA  - en
ID  - SM_2004_195_12_a4
ER  - 
%0 Journal Article
%A V. P. Mikhailov
%T Existence of boundary values for biharmonic functions
%J Sbornik. Mathematics
%D 2004
%P 1781-1793
%V 195
%N 12
%U http://geodesic.mathdoc.fr/item/SM_2004_195_12_a4/
%G en
%F SM_2004_195_12_a4
V. P. Mikhailov. Existence of boundary values for biharmonic functions. Sbornik. Mathematics, Tome 195 (2004) no. 12, pp. 1781-1793. http://geodesic.mathdoc.fr/item/SM_2004_195_12_a4/

[1] Mikhailov V. P., “O suschestvovanii predelnykh znachenii reshenii poligarmonicheskogo uravneniya na granitse oblasti”, Matem. sb., 187:11 (1996), 89–114 | MR | Zbl

[2] Mikhailov V. P., “Suschestvovanie granichnogo znacheniya u metagarmonicheskikh funktsii”, Matem. sb., 190:10 (1999), 17–48 | MR | Zbl

[3] Riesz F., “Über die Randwerte eines Analytische Funktion”, Math. Z., 18 (1923), 87–95 | DOI | MR | Zbl

[4] Privalov I. I., Granichnye svoistva odnoznachnykh analiticheskikh funktsii, GITTL, M., 1950

[5] Mikhailov V. P., “O granichnykh znacheniyakh reshenii ellipticheskikh uravnenii v oblastyakh s gladkoi granitsei”, Matem. sb., 101:2 (1976), 163–188 | MR

[6] Guschin A. K., “O zadache Dirikhle dlya ellipticheskogo uravneniya vtorogo poryadka”, Matem. sb., 137:1 (1988), 19–64 | MR

[7] Vekua I. N., Novye metody resheniya ellipticheskikh uravnenii, GITTL, M.–L., 1948 | MR