Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 203-218
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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/
@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},
year = {1998},
volume = {250},
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
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
%U http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a13/
%G ru
%F ZNSL_1998_250_a13
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.
