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Solving the venttsel problem for the Laplace and Helmholtz equations with the help of iterated potentials. / Lukyanov, V. V.; Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 102, No. 4, 01.01.2000, p. 4265-4274.

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Lukyanov, V. V. ; Nazarov, A. I. / Solving the venttsel problem for the Laplace and Helmholtz equations with the help of iterated potentials. In: Journal of Mathematical Sciences . 2000 ; Vol. 102, No. 4. pp. 4265-4274.

BibTeX

@article{c631545217c046aab27a0ad30c232f21,
title = "Solving the venttsel problem for the Laplace and Helmholtz equations with the help of iterated potentials",
abstract = "Using the properties of iterated potentials, the Venttsel problem for the Laplace and Helmholtz equations is reduced to the Fredholm equation. The possibility of applying the iterated potentials in studies of the Helmholtz equation with boundary conditions of higher orders is shown.",
author = "Lukyanov, {V. V.} and Nazarov, {A. I.}",
year = "2000",
month = jan,
day = "1",
doi = "10.1007/BF02673857",
language = "English",
volume = "102",
pages = "4265--4274",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Solving the venttsel problem for the Laplace and Helmholtz equations with the help of iterated potentials

AU - Lukyanov, V. V.

AU - Nazarov, A. I.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - Using the properties of iterated potentials, the Venttsel problem for the Laplace and Helmholtz equations is reduced to the Fredholm equation. The possibility of applying the iterated potentials in studies of the Helmholtz equation with boundary conditions of higher orders is shown.

AB - Using the properties of iterated potentials, the Venttsel problem for the Laplace and Helmholtz equations is reduced to the Fredholm equation. The possibility of applying the iterated potentials in studies of the Helmholtz equation with boundary conditions of higher orders is shown.

UR - http://www.scopus.com/inward/record.url?scp=33750362546&partnerID=8YFLogxK

U2 - 10.1007/BF02673857

DO - 10.1007/BF02673857

M3 - Article

AN - SCOPUS:33750362546

VL - 102

SP - 4265

EP - 4274

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 45874096