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

Journal article
Authors Grigori Rozenblioum
Grigory Tashchiyan
Published in Opuscula Mathematica
Volume 38
Pages 733-758
ISSN 1232-9274
Publication year 2018
Published at Department of Mathematical Sciences
Pages 733-758
Language en
Links https://doi.org/10.7494/OpMath.2018...
Keywords Eigenvalue asymptotics, Integral operators, Potential theory
Subject categories Computational Mathematics, Geometry, Mathematical Analysis

Abstract

© Wydawnictwa AGH, Krakow 2018. 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.

Page Manager: Webmaster|Last update: 9/11/2012
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