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

Research output: Contribution to journal › Article › peer-review

Department of Higher Mathematics and Mathematical Physics
Department of Computational Physics

Overview
Cite this

DOI

https://doi.org/10.7494/OpMath.2018.38.5.733
Final published version

Grigori Rozenblum
Grigory Tashchiyan

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.

Original language	English
Pages (from-to)	733-758
Number of pages	26
Journal	Opuscula Mathematica
Volume	38
Issue number	5
DOIs	https://doi.org/10.7494/OpMath.2018.38.5.733
State	Published - 1 Jan 2018

Research areas

Eigenvalue asymptotics, Integral operators, Potential theory

Scopus subject areas

Mathematics(all)

ID: 50650104