Double layer potentials and the Dirichlet problem
Czechoslovak Mathematical Journal, Tome 24 (1974) no. 1, pp. 59-73
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1974.101217
Classification : 31B20
@article{10_21136_CMJ_1974_101217,
     author = {Netuka, Ivan},
     title = {Double layer potentials and the {Dirichlet} problem},
     journal = {Czechoslovak Mathematical Journal},
     pages = {59--73},
     year = {1974},
     volume = {24},
     number = {1},
     doi = {10.21136/CMJ.1974.101217},
     mrnumber = {0348127},
     zbl = {0308.31008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1974.101217/}
}
TY  - JOUR
AU  - Netuka, Ivan
TI  - Double layer potentials and the Dirichlet problem
JO  - Czechoslovak Mathematical Journal
PY  - 1974
SP  - 59
EP  - 73
VL  - 24
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1974.101217/
DO  - 10.21136/CMJ.1974.101217
LA  - en
ID  - 10_21136_CMJ_1974_101217
ER  - 
%0 Journal Article
%A Netuka, Ivan
%T Double layer potentials and the Dirichlet problem
%J Czechoslovak Mathematical Journal
%D 1974
%P 59-73
%V 24
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1974.101217/
%R 10.21136/CMJ.1974.101217
%G en
%F 10_21136_CMJ_1974_101217
Netuka, Ivan. Double layer potentials and the Dirichlet problem. Czechoslovak Mathematical Journal, Tome 24 (1974) no. 1, pp. 59-73. doi: 10.21136/CMJ.1974.101217

[1] H. Bauer: Harmonische Räume und ihre Potentialtheorie. Springer Verlag, Berlin, 1966. | MR | Zbl

[2] N. Boboc С. Constantinescu, A. Cornea: On the Dirichlet problem in the axiomatic theory of harmonic functions. Nagoya Math. J. 23 (1963), 73-96. | MR

[3] Ju. D. Burago, V. G. Mazja: Some questions in potential theory and function theory for regions with irregular boundaries. (Russian), Zapiski nauč. sem. Leningrad otd. MIAN 3 (1967).

[4] M. Dont: Non-tangential limits of the double layer potentials. Časopis pro pěstování matematiky 97 (1972), 231-258. | MR | Zbl

[5] H. Federer, W. H. Fleming: Normal and integral currents. Annals of Math. 72 (1960), 458-520. | DOI | MR | Zbl

[6] L. L. Helms: Introduction to potential theory. Wiley-Interscience, New York, 1969. | MR | Zbl

[7] J. Köhn, M. Sieveking: Zum Cauchyschen und Dirichletschen Problem. Math. Ann. 177 (1968), 133-142. | DOI | MR

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

[9] J. Král: Flows of heat and the Fourier problem. Czechoslovak Math. J. 20 (95) (1970), 556-598. | MR

[10] J. Král: A note on the Robin problem in potential theory. Comment. Math. Univ. Carolinae (to appear). | MR

[11] I. Netuka: Generalized Robin problem in potential theory. Czechoslovak Math. J. 22 (97) (1972), 312-324. | MR | Zbl

[12] I. Netuka: An operator connected with the third boundary value problem in potential theory. ibid. 462-489. | MR | Zbl

[13] I. Netuka: The third boundary value problem in potential theory. ibid. 554-580. | MR | Zbl

[14] I. Netuka: Double layer potential representation of the solution of the Dirichlet problem. Comment. Math. Univ. Carolinae 14 (1973), 183-185. | MR | Zbl

[15] С. de la Vallée Poussin: Propriété des fonctions harmoniques dans un domaine ouvert limité par des surfaces à courbure borné. Ann. Scuola Norm. Sup. Pisa 2 (1933), 167-197.

[16] Š. Schwabik: On an integral operator in the space of functions with bounded variation. Časopis pro pěstování matematiky 97 (1972), 297-330. | MR | Zbl

[17] R. Sikorski: Funkcje rzeczewiste. Tom 1, PWN, Warszava, 1958.

Cité par Sources :