Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case.
Paper in proceeding, 2021

For pseudodifferential operators of Birman-Schwinger type, involving a singular measure, in the critical relation mbetween the dimension of the space and the order of the operator, we find eigenvalue estimates. In the case when the measure is the natural urface measure on a Lipschitz surface, the asymptotics of eigenvalues is found

eigenvalue asymptotics

Pseudodifferential operator

egenvalue estimates

Singular measure

Author

Grigori Rozenblioum

Chalmers, Mathematical Sciences

E. M. Shargorodsky

King's College London

Partial Differential Equations, Spectral Theory, and Mathematical Physics (EMS Series of Congress Reports)

2523-515X (ISSN) 2523-5168 (eISSN)

Vol. 18 331-354 20
978-3-98547-007-5 (ISBN)

Partial differential equations, spectral theory, and mathematical physics
online, Germany,

Roots

Basic sciences

Subject Categories

Mathematical Analysis

DOI

10.4171/ECR/18-1/20

More information

Latest update

1/27/2022