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Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions*. / Safarov, Yu G.; Filonov, N. D.

In: Functional Analysis and its Applications, Vol. 44, No. 4, 01.12.2010, p. 286-294.

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Safarov, Yu G. ; Filonov, N. D. / Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions*. In: Functional Analysis and its Applications. 2010 ; Vol. 44, No. 4. pp. 286-294.

BibTeX

@article{d4dd25cda6b44c6ea50cd33225400aa5,
title = "Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions*",
abstract = "The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference NN(λ) - ND(λ) of counting functions are discussed.",
keywords = "Boundary value problem, Counting function, Dirichlet and Neumann eigenvalues",
author = "Safarov, {Yu G.} and Filonov, {N. D.}",
year = "2010",
month = dec,
day = "1",
doi = "10.1007/s10688-010-0039-5",
language = "English",
volume = "44",
pages = "286--294",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Asymptotic estimates of the difference between the Dirichlet and Neumann counting functions*

AU - Safarov, Yu G.

AU - Filonov, N. D.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference NN(λ) - ND(λ) of counting functions are discussed.

AB - The Dirichlet and Neumann problems for the Laplace operator in a bounded domain in Euclidean space are considered. Some estimates of the difference NN(λ) - ND(λ) of counting functions are discussed.

KW - Boundary value problem

KW - Counting function

KW - Dirichlet and Neumann eigenvalues

UR - http://www.scopus.com/inward/record.url?scp=78650680987&partnerID=8YFLogxK

U2 - 10.1007/s10688-010-0039-5

DO - 10.1007/s10688-010-0039-5

M3 - Article

AN - SCOPUS:78650680987

VL - 44

SP - 286

EP - 294

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 4

ER -

ID: 51315435