| Title:
|
Angular limits of double layer potentials (English) |
| Author:
|
Král, Josef |
| Author:
|
Medková, Dagmar |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
267-292 |
| . |
| Category:
|
math |
| . |
| MSC:
|
31B10 |
| MSC:
|
31B25 |
| MSC:
|
49Q15 |
| idZBL:
|
Zbl 0838.31006 |
| idMR:
|
MR1331464 |
| DOI:
|
10.21136/CMJ.1995.128517 |
| . |
| Date available:
|
2009-09-24T09:47:01Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128517 |
| . |
| Reference:
|
[1] Ju. D. Burago, V.G. Maz’ya: Some problems of potential theory and function theory for domains with nonregular boundaries.Zapiski Naučnych Seminarov LOMI 3 (1967). (Russian) |
| Reference:
|
[2] M. Chlebík: Tricomi potencials.Thesis, Mathematical Institute of the Czechoslovak Academy of Sciences, Praha, 1988. (Slovak) |
| Reference:
|
[3] M. Dont: Non-tangential limits of the double layer potentials.Časopis pro pěstování matematiky 97 (1972), 231–258. Zbl 0237.31012, MR 0444975 |
| Reference:
|
[4] H. Federer: The Gauss-Green theorem.Trans. Amer. Math. Soc. 58 (1945), 44–76. Zbl 0060.14102, MR 0013786, 10.1090/S0002-9947-1945-0013786-6 |
| Reference:
|
[5] H. Federer: Geometrie Measure Theory, Springer-Verlag.1969. |
| Reference:
|
[6] J. Král: On the logarithmic potential.Comment. Math. Univ. Carolinae 3 (1962), no. 1, 3–10. MR 0159008 |
| Reference:
|
[7] J. Král: The Fredholm method in potential theory.Trans. Amer. Math. Soc. 125 (1966), 511-547. MR 0209503, 10.2307/1994580 |
| Reference:
|
[8] J. Král: Limits of double layer potentials.Accad. Naz. dei Lincei, Rendiconti Cl. Sci. fis. mat. e. natur., ser. 8, vol. 48 (1970), 39–42. MR 0274788 |
| Reference:
|
[9] J. Král: Flows of heat and the Fourier problem.Czechoslovak Math. J. 20(95) (1970), 556–598. MR 0271554 |
| Reference:
|
[10] J. Král: On boundary behaviour of double layer potentials.Trudy Seminara S.L. Soboleva, Novosibirsk, 1976, pp. 19–34. (Russian) |
| Reference:
|
[11] J. Král: Integral Operators in Potential Theory.Lecture Notes in Math., vol. 823, Springer-Verlag, 1980. MR 0590244 |
| Reference:
|
[12] J. Král, J. Lukeš: Integrals of the Cauchy type.Czechoslovak Math. J. 22 (1972), 663–682. MR 0338377 |
| Reference:
|
[13] J. Lukeš: A note on integral of the Cauchy type.Comment. Math. Univ. Carolinae 9 (1968), 563–570. MR 0243011 |
| Reference:
|
[14] J.D. Machavariani: On lower and upper nontangential limits of the logarithmic potential of a double distribution.Amer. Math. Soc. Transl. 131 (1986), no. 2, 109–120. 10.1090/trans2/131/10 |
| Reference:
|
[15] V.G. Maz’ya: Boundary Integral Equations, in Analysis IV, Encyclopaedia of Mathematical Sciences.vol. 27, Springer-Verlag, 1991. |
| Reference:
|
[16] S. Saks: Theory of the Integral.Dover Publications, New York, 1964. MR 0167578 |
| Reference:
|
[17] J. Veselý: On the limits of the potential of the double distribution.Comment. Math. Univ. Carolinae 10 (1969), no. 2, 189–194. MR 0249654 |
| Reference:
|
[18] J. Veselý: Angular limits of double layer potentials (in Czech with an English summary).Časopis pro pěstování matematiky 95 (1970), 379–401. MR 0382676 |
| Reference:
|
[19] W.P. Ziemer: Weakly Differentiable Functions.Springer-Verlag, 1989. Zbl 0692.46022, MR 1014685 |
| . |
