Geodesic
The Riemann boundary value problem on a nonsmooth open curve
Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 135-148 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper is devoted to the study of the Riemann boundary value problem on an open curve. It is revealed that in some cases the solution of this problem differs in a fundamental way from all extant results in this area. Classes of curves (spirals) are singled out on which it is possible to comprehend the essence of the phenomenon under investigation, and a complete solution of the Riemann boundary value problem is found for these classes. Bibliography: 9 titles. 
@article{SM_1981_40_2_a0,
     author = {R. K. Seifullaev},
     title = {The {Riemann} boundary value problem on a~nonsmooth open curve},
     journal = {Sbornik. Mathematics},
     pages = {135--148},
     year = {1981},
     volume = {40},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_40_2_a0/}
}
TY  - JOUR
AU  - R. K. Seifullaev
TI  - The Riemann boundary value problem on a nonsmooth open curve
JO  - Sbornik. Mathematics
PY  - 1981
SP  - 135
EP  - 148
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1981_40_2_a0/
LA  - en
ID  - SM_1981_40_2_a0
ER  - 
%0 Journal Article
%A R. K. Seifullaev
%T The Riemann boundary value problem on a nonsmooth open curve
%J Sbornik. Mathematics
%D 1981
%P 135-148
%V 40
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1981_40_2_a0/
%G en
%F SM_1981_40_2_a0
R. K. Seifullaev. The Riemann boundary value problem on a nonsmooth open curve. Sbornik. Mathematics, Tome 40 (1981) no. 2, pp. 135-148. http://geodesic.mathdoc.fr/item/SM_1981_40_2_a0/

[1] A. A. Babaev, V. V. Salaev, “Odnomernyi singulyarnyi operator s nepreryvnoi plotnostyu po zamknutoi krivoi”, DAN SSSR, 209:6 (1973), 1257–1260 | MR | Zbl

[2] S. K. Balashov, “Ob osobom integrale Koshi po spiralyam”, Izv. AN BSSR, seriya fiz.-matem. nauk, 1973, no. 2, 43–51 | Zbl

[3] F. D. Gakhov, Kraevye zadachi, izd-vo “Nauka”, Moskva, 1977 | MR | Zbl

[4] N. I. Muskhelishvili, Singulyarnye integralnye uravneniya, izd-vo “Nauka”, Moskva, 1968 | MR

[5] B. Riman, Sochineniya, Gostekhizdat, Moskva–Leningrad, 1948

[6] V. V. Salaev, “Pryamye i obratnye otsenki dlya osobogo integrala Koshi po zamknutoi krivoi”, Matem. zametki, 19:3 (1976), 365–380 | MR | Zbl

[7] R. K. Seifullaev, Kraevaya zadacha Rimana na negladkoi razomknutoi krivoi, Dep. VINITI, No 3455-78, 1978 | MR

[8] R. K. Seifullaev, “Integral tipa Koshi po razomknutoi krivoi i zadacha skachka”, Uchenye zapiski MB i SSO Azerb.SSR, seriya fiz.-matem. nauk, 1977, no. 4, 45–52

[9] G. A. Khuskivadze, “Ob osobom integrale i integrale tipa Koshi”, Trudy Tbilisk. matem. in-ta AN Gruz.SSR, 53:7 (1976), 73–86 | Zbl