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

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.

Bibliographic Details
Main Authors: Grigori Rozenblum, Grigory Tashchiyan
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/5/art/opuscula_math_3833.pdf

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