Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 652-664
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P. N. Vabishchevich; S. A. Gabov. Angular potential for solving an elliptic equation with variable coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 3, pp. 652-664. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a8/
@article{ZVMMF_1979_19_3_a8,
author = {P. N. Vabishchevich and S. A. Gabov},
title = {Angular potential for solving an elliptic equation with variable coefficients},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {652--664},
year = {1979},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a8/}
}
TY - JOUR
AU - P. N. Vabishchevich
AU - S. A. Gabov
TI - Angular potential for solving an elliptic equation with variable coefficients
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1979
SP - 652
EP - 664
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a8/
LA - ru
ID - ZVMMF_1979_19_3_a8
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%D 1979
%P 652-664
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_3_a8/
%G ru
%F ZVMMF_1979_19_3_a8
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.
