Eigenvalue asymptotics for potential type operators on lipschitz surfaces of codimension greater than 1
Artikel i vetenskaplig tidskrift, 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
Författare
Grigori Rozenblioum
Saint Petersburg State University - Spsu
Chalmers, Matematiska vetenskaper
Grigory Tashchiyan
Saint Petersburg State University - Spsu
Opuscula Mathematica
1232-9274 (ISSN) 23006919 (eISSN)
Vol. 38 5 733-758Ämneskategorier
Beräkningsmatematik
Geometri
Matematisk analys
DOI
10.7494/OpMath.2018.38.5.733