Spectral Stability of the $\overline{\partial}$-Neumann Laplacian: Domain Perturbations
- Author(s)
- Siqi Fu, Weixia Zhu
- Abstract
We study spectral stability of the ∂¯ -Neumann Laplacian on a bounded domain in C n when the underlying domain is perturbed. In particular, we establish upper semi-continuity properties for the variational eigenvalues of the ∂¯ -Neumann Laplacian on bounded pseudoconvex domains in C n, lower semi-continuity properties on pseudoconvex domains that satisfy property (P), and quantitative estimates on smooth bounded pseudoconvex domains of finite D’Angelo type in C n.
- Organisation(s)
- Department of Mathematics
- External organisation(s)
- Rutgers University
- Journal
- Journal of Geometric Analysis
- Volume
- 32
- No. of pages
- 34
- ISSN
- 1050-6926
- DOI
- https://doi.org/10.1007/s12220-021-00769-z
- Publication date
- 02-2022
- 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-domain-perturbations(df908519-3c2a-486d-953c-e9c9c3f1b738).html