Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 1081-1092
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The nature of the singularities of the limiting values of the derivatives of generalized two-dimensional single and double layer potentials on the boundaries of contours of a certain type has been studied. Applications of the method of generalized potentials to the solution of boundary-value problems for the Helmholtz equation, which arise in the theory of the diffraction and propagation of waves, are considered.
@article{ZVMMF_1990_30_7_a9,
author = {Yu. V. Shestopalov},
title = {Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1081--1092},
publisher = {mathdoc},
volume = {30},
number = {7},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a9/}
}
TY - JOUR AU - Yu. V. Shestopalov TI - Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 1081 EP - 1092 VL - 30 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a9/ LA - ru ID - ZVMMF_1990_30_7_a9 ER -
%0 Journal Article %A Yu. V. Shestopalov %T Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 1081-1092 %V 30 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a9/ %G ru %F ZVMMF_1990_30_7_a9
Yu. V. Shestopalov. Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 7, pp. 1081-1092. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_7_a9/