Abstract
A new integral representation of the general solution of the Moisil–Théodorescu system in a bounded multiply connected domain with a smooth boundary is obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. C. Moisil and N. Théodorescu, Mathematica (Cluj) 5, 142–153 (1931).
A. V. Bitsadze, Izv. Akad. Nauk SSSR, Ser. Mat. 17 (6), 525–538 (1953).
A. V. Bitsadze, Soobshch. Akad. Nauk Gruz. SSR 16 (3), 177–184 (1955).
V. I. Shevchenko, Dokl. Akad. Nauk SSSR 169 (6), 1285–1288 (1966).
V. I. Shevchenko, Sb. Mat. Fiz. Kiev 8, 172–187 (1970).
V. A. Polunin and A. P. Soldatov, “The Riemann–Hilbert problem for the Moisil–Théodorescu system in a bounded domain,” Nonclassical Equations of Mathematical Physics: Collected Papers (Inst. Mat., Novosibirsk, 2010) [in Russian].
V. A. Polunin and A. P. Soldatov, “Integral representation of solutions of the Moisil–Théodorescu system,” in Research Reports of Belgorod State University (Belgor. Gos. Univ., Belgorod, 2011) [in Russian].
V. A. Polunin and A. P. Soldatov, Differ. Equations 47 (3), 363–372 (2011).
S. G. Mikhlin, Variational Methods in Mathematical Physics (Pergamon, Oxford, 1964; Nauka, Moscow, 1970).
D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order (Springer-Verlag, Berlin, 1983; Nauka, Moscow, 1989).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Polunin, A.P. Soldatov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 475, No. 4, pp. 369–372.
Rights and permissions
About this article
Cite this article
Polunin, V.A., Soldatov, A.P. Integral representation of solutions of the Moisil–Théodorescu system in multiply connected domains. Dokl. Math. 96, 358–361 (2017). https://doi.org/10.1134/S1064562417040172
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562417040172