Spectral stability of the Kohn Laplacian under perturbations of the boundary
- Author(s)
- Siqi Fu, Howard Jacobowitz, Weixia Zhu
- Abstract
In this paper, we study stability of the spectrum of the Kohn Laplacian □
b on the boundary of a smoothly bounded domain in C
n as the boundary is perturbed in the C
2-topology. We obtain estimates for spectral stability of the Kohn Laplacian on smooth compact hypersurfaces that satisfy uniform subelliptic estimate, in particular for strictly pseudoconvex hypersurfaces in C
n and pseudoconvex hypersurfaces of finite type in C
2.
- Organisation(s)
- Department of Mathematics
- External organisation(s)
- Rutgers University
- Journal
- J. Math. Anal. Appl.
- Volume
- 535
- ISSN
- 0022-247X
- DOI
- https://doi.org/10.1016/j.jmaa.2024.128129
- Publication date
- 07-2024
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101008 Complex analysis
- Keywords
- ASJC Scopus subject areas
- Analysis, Applied Mathematics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/dc00ea86-3e59-4c4f-a116-15d05943f32e