TY - JOUR ID - Rozenblum2018 LB - Rozenblum2018 AU - Rozenblum, Grigori AU - Tashchiyan, Grigory TI - Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1 ST - Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1 JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2018 VL - 38 IS - 5 SP - 733 EP - 758 DO - https://doi.org/10.7494/OpMath.2018.38.5.733 UR - https://doi.org/10.7494/OpMath.2018.38.5.733 AB - 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. KW - integral operators KW - potential theory KW - eigenvalue asymptotics SN - 1232-9274 ER -