References
W. McLean, Strongly Elliptic System and Boundary Integral Equations (Cambridge Univ. Press, Cambridge, 2000).
G. Verchota, J. Funct. Anal. 59, 572–611 (1984).
D. Jerison and C. Koenig, Bull. Am. Math. Soc. 4, 203–207 (1981).
P. Grisvard, Boundary Value Problems in Nonsmooth Domains (Pitman, London, 1985).
G. M. Vainikko, I. K. Lifanov, and L. N. Poltavskii, Numerical Methods in Hypersingular Integral Equations and Their Applications (Yanus-K, Moscow, 2001) [in Russian].
I. K. Lifanov, L. N. Poltavskii, and G. M. Vainikko, Hypersingular Integral Equations and Their Applications (CRC, Boca Raton, 2004).
A. V. Setukha, Doctoral Dissertation in Mathematics and Physics (Moscow, 2003).
A. Ya. Povzner and I. V. Sukharevskii, Sov. Phys. Dokl. 4, 798–801 (1960).
A. Ya. Povzner and I. V. Sukharevskii, USSR Comput. Math. Math. Phys. 1, 249–276 (1961).
A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics: A Unified Introduction with Applications (Nauka, Moscow, 1984; Birkhäuser, Basel, 1987).
V. S. Vladimirov, Equations of Mathematical Physics (Marcel Dekker, New York, 1971; Nauka, Moscow, 1981).
P. A. Krutitskii, Differ. Equations 46, 1287–1298 (2010).
P. A. Krutitskii, Quart. Appl. Math. 66(1), 177–190 (2008).
P. A. Krutitskii, Proc. Edinburgh Math. Soc. 43, 325–341 (2000).
P. A. Krutitskii, Z. Anal. Anwendungen 17, 361–378 (1998).
Author information
Authors and Affiliations
Additional information
Original Russian Text © P.A. Krutitskii, 2012, published in Doklady Akademii Nauk, 2012, Vol. 444, No. 4, pp. 359–361.
Rights and permissions
About this article
Cite this article
Krutitskii, P.A. Dirichlet problem for the Laplace equation in the exterior of open Lipschitz surfaces. Dokl. Math. 85, 372–374 (2012). https://doi.org/10.1134/S1064562412030222
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562412030222