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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 3, Pages 652–664 (Mi zvmmf5334)  
Angular potential for solving an elliptic equation with variable coefficients

P. N. Vabishchevich, S. A. Gabov

Moskva
Full-text PDF (1252 kB)
Abstract: The theory of the angular potential is constructed for $k$-harmonic functions on the plane, i.e. for regular solutions of the equation $div(k(M)~grad~u)=0$. An example is given of application of the results to the construction of a closed solution of the problem on the jump of directional derivatives of $k$-harmonic functions.
Received: 04.04.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 3, Pages 95–109
DOI: https://doi.org/10.1016/0041-5553(79)90132-0
Bibliographic databases:
Document Type: Article
UDC: 517.956.224
MSC: Primary 35J15; Secondary 35A08, 31A15, 31A35, 31B35
Language: Russian
Citation: P. N. Vabishchevich, S. A. Gabov, “Angular potential for solving an elliptic equation with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 652–664; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 95–109
Citation in format AMSBIB
\Bibitem{VabGab79}
\by P.~N.~Vabishchevich, S.~A.~Gabov
\paper Angular potential for solving an elliptic equation with variable coefficients
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 3
\pages 652--664
\mathnet{http://mi.mathnet.ru/zvmmf5334}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538934}
\zmath{https://zbmath.org/?q=an:0411.35035}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 3
\pages 95--109
\crossref{https://doi.org/10.1016/0041-5553(79)90132-0}
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