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

DOI10.7494/OpMath.2018.38.5.733OpenAlexW2808248846WikidataQ129694122 ScholiaQ129694122MaRDI QIDQ4554833

Grigori Rozenblum, Grigory Tashchiyan

Publication date: 9 November 2018

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2018.38.5.733

zbMATH Keywords

potential theoryeigenvalue asymptoticsintegral operators

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Potential operators (47G40)

Related Items (5)

Eigenvalues of singular measures and Connes' noncommutative integration ⋮ Spectral estimates and asymptotics for integral operators on singular sets ⋮ Eigenvalue asymptotics for weighted polyharmonic operator with a singular measure in the critical case ⋮ Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case ⋮ Eigenvalues of the Birman-Schwinger operator for singular measures: the noncritical case

Cites Work

• Boundary integral operator for the fractional Laplacian on the boundary of a bounded smooth domain
• Analytic formulas for the topological degree of non-smooth mappings: The odd-dimensional case
• Estimates of \(s\)-numbers and spectral asymptotics for integral operators of potential type on nonsmooth surfaces
• Singular Green operators and their spectral asymptotics
• Eigenvalue asymptotics for potential type operators on Lipschitz surfaces
• Boundary integral equations
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• On the Hausdorff-Young theorem for integral operators
• ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF INTEGRAL OPERATORS WITH A SINGULARITY ON THE DIAGONAL
• Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains
• ASYMPTOTIC BEHAVIOR OF THE SPECTRUM OF WEAKLY POLAR INTEGRAL OPERATORS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1