Angular limits of double layer potentials

Josef Král; Dagmar Medková

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 2, page 267-292
  • ISSN: 0011-4642

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Král, Josef, and Medková, Dagmar. "Angular limits of double layer potentials." Czechoslovak Mathematical Journal 45.2 (1995): 267-292. <http://eudml.org/doc/31464>.

@article{Král1995,
author = {Král, Josef, Medková, Dagmar},
journal = {Czechoslovak Mathematical Journal},
keywords = {double layer potential; angular limits; locally finite perimeter; geometric conditions},
language = {eng},
number = {2},
pages = {267-292},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Angular limits of double layer potentials},
url = {http://eudml.org/doc/31464},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Král, Josef
AU - Medková, Dagmar
TI - Angular limits of double layer potentials
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 2
SP - 267
EP - 292
LA - eng
KW - double layer potential; angular limits; locally finite perimeter; geometric conditions
UR - http://eudml.org/doc/31464
ER -

References

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  1. Some problems of potential theory and function theory for domains with nonregular boundaries, Zapiski Naučnych Seminarov LOMI 3 (1967). (Russian) (1967) 
  2. Tricomi potencials, Thesis, Mathematical Institute of the Czechoslovak Academy of Sciences, Praha, 1988. (Slovak) (1988) 
  3. Non-tangential limits of the double layer potentials, Časopis pro pěstování matematiky 97 (1972), 231–258. (1972) Zbl0237.31012MR0444975
  4. 10.1090/S0002-9947-1945-0013786-6, Trans. Amer. Math. Soc. 58 (1945), 44–76. (1945) Zbl0060.14102MR0013786DOI10.1090/S0002-9947-1945-0013786-6
  5. Geometrie Measure Theory, Springer-Verlag, 1969. (1969) 
  6. On the logarithmic potential, Comment. Math. Univ. Carolinae 3 (1962), no. 1, 3–10. (1962) MR0159008
  7. 10.2307/1994580, Trans. Amer. Math. Soc. 125 (1966), 511-547. (1966) MR0209503DOI10.2307/1994580
  8. Limits of double layer potentials, Accad. Naz. dei Lincei, Rendiconti Cl. Sci. fis. mat. e. natur., ser. 8, vol. 48 (1970), 39–42. (1970) MR0274788
  9. Flows of heat and the Fourier problem, Czechoslovak Math. J. 20(95) (1970), 556–598. (1970) MR0271554
  10. On boundary behaviour of double layer potentials, Trudy Seminara S.L. Soboleva, Novosibirsk, 1976, pp. 19–34. (Russian) (1976) 
  11. Integral Operators in Potential Theory, Lecture Notes in Math., vol. 823, Springer-Verlag, 1980. (1980) MR0590244
  12. Integrals of the Cauchy type, Czechoslovak Math. J. 22 (1972), 663–682. (1972) MR0338377
  13. A note on integral of the Cauchy type, Comment. Math. Univ. Carolinae 9 (1968), 563–570. (1968) MR0243011
  14. 10.1090/trans2/131/10, Amer. Math. Soc. Transl. 131 (1986), no. 2, 109–120. (1986) DOI10.1090/trans2/131/10
  15. Boundary Integral Equations, in Analysis IV, Encyclopaedia of Mathematical Sciences, vol. 27, Springer-Verlag, 1991. (1991) 
  16. Theory of the Integral, Dover Publications, New York, 1964. (1964) MR0167578
  17. On the limits of the potential of the double distribution, Comment. Math. Univ. Carolinae 10 (1969), no. 2, 189–194. (1969) MR0249654
  18. Angular limits of double layer potentials (in Czech with an English summary), Časopis pro pěstování matematiky 95 (1970), 379–401. (1970) MR0382676
  19. Weakly Differentiable Functions, Springer-Verlag, 1989. (1989) Zbl0692.46022MR1014685

Citations in EuDML Documents

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  1. Josef Král, Dagmar Medková, Angular limits of the integrals of the Cauchy type
  2. Josef Král, Dagmar Medková, Essential norms of the Neumann operator of the arithmetical mean
  3. Josef Král, Dagmar Medková, Essential norms of a potential theoretic boundary integral operator in L 1
  4. Eva Dontová, Miroslav Dont, Josef Král, Reflection and a mixed boundary value problem concerning analytic functions
  5. Jaroslav Lukeš, Ivan Netuka, Jiří Veselý, In memory of Josef Král
  6. Jaroslav Lukeš, Ivan Netuka, Jiří Veselý, In memory of Josef Král

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