Opuscula Math. 38, no. 5 (2018), 733-758
Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1
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.