Spectral Stability of the $\overline{\partial}$-Neumann Laplacian
- Author(s)
- Siqi Fu, Chunhui Qiu, Weixia Zhu
- Abstract
In this paper we study spectral stability of the $\overline{\partial}$-Neumann Laplacian under the Kohn–Nirenberg elliptic regularization. We obtain quantitative estimates for stability of the spectrum of the $\overline{\partial}$-Neumann Laplacian when either the operator or the underlying domain is perturbed.
- Organisation(s)
- External organisation(s)
- Rutgers University, Xiamen University
- Journal
- Journal of Geometric Analysis
- Volume
- 31
- Pages
- 3968-3987
- No. of pages
- 20
- ISSN
- 1050-6926
- DOI
- https://doi.org/10.1007/s12220-020-00421-2
- Publication date
- 04-2021
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 101008 Complex analysis
- Keywords
- ASJC Scopus subject areas
- Geometry and Topology
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/spectral-stability-of-the-overlinepartialneumann-laplacian(236fc36c-ac00-4471-b1b8-f6b5bcf47a1b).html