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Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1. / Rozenblum, Grigori; Tashchiyan, Grigory.

In: Opuscula Mathematica, Vol. 38, No. 5, 01.01.2018, p. 733-758.

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Rozenblum, Grigori ; Tashchiyan, Grigory. / Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1. In: Opuscula Mathematica. 2018 ; Vol. 38, No. 5. pp. 733-758.

BibTeX

@article{4364d1c055484373b1e281a9449678bc,
title = "Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1",
abstract = "For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.",
keywords = "Eigenvalue asymptotics, Integral operators, Potential theory",
author = "Grigori Rozenblum and Grigory Tashchiyan",
year = "2018",
month = jan,
day = "1",
doi = "10.7494/OpMath.2018.38.5.733",
language = "English",
volume = "38",
pages = "733--758",
journal = "Opuscula Mathematica",
issn = "1232-9274",
publisher = "Akademia Gorniczo-Hutnicza im. S. Staszica w Krakowie.",
number = "5",

}

RIS

TY - JOUR

T1 - Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1

AU - Rozenblum, Grigori

AU - Tashchiyan, Grigory

PY - 2018/1/1

Y1 - 2018/1/1

N2 - For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.

AB - For potential type integral operators on a Lipschitz submanifold the asymptotic formula for eigenvalues is proved. The reasoning is based upon the study of the rate of operator convergence as smooth surfaces approximate the Lipschitz one.

KW - Eigenvalue asymptotics

KW - Integral operators

KW - Potential theory

UR - http://www.scopus.com/inward/record.url?scp=85048856336&partnerID=8YFLogxK

U2 - 10.7494/OpMath.2018.38.5.733

DO - 10.7494/OpMath.2018.38.5.733

M3 - Article

AN - SCOPUS:85048856336

VL - 38

SP - 733

EP - 758

JO - Opuscula Mathematica

JF - Opuscula Mathematica

SN - 1232-9274

IS - 5

ER -

ID: 50650104