Browsing by Subject "eigenvalue asymptotics"
Now showing 1 - 2 of 2
- Results Per Page
- Sort Options
Item type:Article, Access status: Open Access , Discrete spectrum of zero order pseudodifferential operators(Wydawnictwa AGH, 2023) Rozenblûm, Grigorij VadimovičWe study the rate of convergence of eigenvalues to the endpoints of essential spectrum for zero order pseudodifferential operators on a compact manifold.Item type:Article, Access status: Open Access , Eigenvalue asymptotics for potential type operators on Lipschitz surfaces of codimension greater than 1(Wydawnictwa AGH, 2018) Rozenblûm, Grigorij Vadimovič; Taŝiân, Grigorij MihajlovičFor 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.