An operator connected with the third boundary value problem in potential theory
Czechoslovak Mathematical Journal, Tome 22 (1972) no. 3, pp. 462-489
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1972.101116
Classification : 31B20
@article{10_21136_CMJ_1972_101116,
     author = {Netuka, Ivan},
     title = {An operator connected with the third boundary value problem in potential theory},
     journal = {Czechoslovak Mathematical Journal},
     pages = {462--489},
     year = {1972},
     volume = {22},
     number = {3},
     doi = {10.21136/CMJ.1972.101116},
     mrnumber = {0316733},
     zbl = {0241.31009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101116/}
}
TY  - JOUR
AU  - Netuka, Ivan
TI  - An operator connected with the third boundary value problem in potential theory
JO  - Czechoslovak Mathematical Journal
PY  - 1972
SP  - 462
EP  - 489
VL  - 22
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101116/
DO  - 10.21136/CMJ.1972.101116
LA  - en
ID  - 10_21136_CMJ_1972_101116
ER  - 
%0 Journal Article
%A Netuka, Ivan
%T An operator connected with the third boundary value problem in potential theory
%J Czechoslovak Mathematical Journal
%D 1972
%P 462-489
%V 22
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101116/
%R 10.21136/CMJ.1972.101116
%G en
%F 10_21136_CMJ_1972_101116
Netuka, Ivan. An operator connected with the third boundary value problem in potential theory. Czechoslovak Mathematical Journal, Tome 22 (1972) no. 3, pp. 462-489. doi: 10.21136/CMJ.1972.101116

[1] M. G. Arsove: Continuous potentials and linear mass distributions. SIAM Review 2 (1960), 177-184. | DOI | MR | Zbl

[2] E. De Giorgi: Nuovi teoremi relativi alle misure (r - l)-dimensionali in uno spazio ad r dimensioni. Ricerche di Matematica 4 (1955), 95-113. | MR

[3] N. Dunford, J. T. Schwartz: Linear operators. Part I, Interscience Publishers, New York, 1958. | MR | Zbl

[4] H. Federer: The Gauss-Green theorem. Trans. Amer. Math. Soc. 58 (1945), 44 - 76. | DOI | MR | Zbl

[5] H. Federer: The (Ф, k) rectifiable subset of n space. Trans. Amer. Math. Soc. 62 (1947), 114-192. | MR

[6] H. Féderer: A note on the Gauss-Green theorem. Proc. Amer. Math. Soc. 9 (1958), 447-451. | DOI | MR

[7] H. Federer: Curvature measures. Trans. Amer. Math. Soc. 93 (1959), 418-491. | DOI | MR | Zbl

[8] W. H. Fleming: Functions of several variables. Addison-Wesley Publishing Соmp., INC., 1965. | MR | Zbl

[9] J. Král: The Fredholm method in potential theory. Trans. Amer. Math. Soc. 125 (1966), 511-547. | DOI | MR

[10] J. Král: Flows of heat and the Fourier problem. Czechoslovak Math. J. 20 (1970), 556-598. | MR

[11] K. Kuratowski: Topology. vol. I, Academic Press, 1966. | DOI | MR | Zbl

[12] N. S. Landkof: Fundamentals of modern potential theory. (Russian), Izdat. Nauka, Moscow, 1966. | MR

[13] J. W. Milnor: Topology from the differentiable viewpoint. The University Press of Virginia, 1965. | MR | Zbl

[14] M. Miranda: Distribuzioni aventi derivate misure, Insiemi di perimetro localmente finito. Ann. Scuola Norm. Sup. Pisa 18 (1964), 27-56. | MR | Zbl

[15] I. Netuka: The Robin problem in potential theory. Comment. Math. Univ. Carolinae 12 (1971), 205-211. | MR | Zbl

[16] I. Netuka: Generalized Robin problem in potential theory. Czechoslovak Math. J. 22 (1972), 312-324. | MR | Zbl

[17] I. Netuka: The third boundary value problem in potential theory. Czechoslovak Math. J. 22 (1972) (to appear). | MR | Zbl

[18] V. D. Sapoznikova: Solution of the third boundary value problem by the method of potential theory for regions with irregular boundaries. (Russian), Problems Mat. Anal. Boundary Value Problems Integr. Equations (Russian), 35-44, Izdat. Leningrad. Univ., Leningrad, | MR

Cité par Sources :