Opuscula Math. 38, no. 5 (2018), 733-758
https://doi.org/10.7494/OpMath.2018.38.5.733

Opuscula Mathematica

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

Grigori Rozenblum
Grigory Tashchiyan

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: integral operators, potential theory, eigenvalue asymptotics.

Mathematics Subject Classification: 47G40, 35P20.

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