Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1
Journal article, 2018
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.
Integral operators
Potential theory
Eigenvalue asymptotics
Author
Grigori Rozenblioum
Saint Petersburg State University - Spsu
Chalmers, Mathematical Sciences
Grigory Tashchiyan
Saint Petersburg State University - Spsu
Opuscula Mathematica
1232-9274 (ISSN) 23006919 (eISSN)
Vol. 38 5 733-758Subject Categories
Computational Mathematics
Geometry
Mathematical Analysis
DOI
10.7494/OpMath.2018.38.5.733