Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 203-218
Voir la notice de l'article provenant de la source Math-Net.Ru
Using the properties of iterated potentials we transform Vent'sel problem for Laplace and Helmholtz equations to Fredholm equation. The possibility of application of iterated potentials to investigation of the Helmholtz equation with high order boundary condition is shown.
@article{ZNSL_1998_250_a13,
author = {V. V. Lukyanov and A. I. Nazarov},
title = {Solving of {Vent'sel} boundary-value problem for {Laplace} and {Helmholtz} equations by iterated potentials},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {203--218},
publisher = {mathdoc},
volume = {250},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a13/}
}
TY - JOUR AU - V. V. Lukyanov AU - A. I. Nazarov TI - Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials JO - Zapiski Nauchnykh Seminarov POMI PY - 1998 SP - 203 EP - 218 VL - 250 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a13/ LA - ru ID - ZNSL_1998_250_a13 ER -
%0 Journal Article %A V. V. Lukyanov %A A. I. Nazarov %T Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials %J Zapiski Nauchnykh Seminarov POMI %D 1998 %P 203-218 %V 250 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a13/ %G ru %F ZNSL_1998_250_a13
V. V. Lukyanov; A. I. Nazarov. Solving of Vent'sel boundary-value problem for Laplace and Helmholtz equations by iterated potentials. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 203-218. http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a13/