Eigenvalue Asymptotics for Weighted Polyharmonic Operator with a Singular Measure in the Critical Case
Artikel i vetenskaplig tidskrift, 2021
We find that, in the critical case (Formula presented.), the eigenvalues of the problem (Formula presented.) with the singular measure P supported on a compact Lipschitz surface of an arbitrary dimension in (Formula presented.) satisfy an asymptotic formula of the same order as in the case of an absolutely continuous measure.
singular measures
eigenvalues
Författare
Grigori Rozenblioum
Saint Petersburg State University - Spsu
Euler International Mathematical Institute
Chalmers, Matematiska vetenskaper
E. M. Shargorodsky
King's College London
Functional Analysis and its Applications
0016-2663 (ISSN) 1573-8485 (eISSN)
Vol. 55 2 170-173Ämneskategorier (SSIF 2011)
Algebra och logik
Geometri
Matematisk analys
DOI
10.1134/S001626632102009X