Abstract
In this paper we study spectral stability of the \(\bar{\partial }\)-Neumann Laplacian under the Kohn–Nirenberg elliptic regularization. We obtain quantitative estimates for stability of the spectrum of the \(\bar{\partial }\)-Neumann Laplacian when either the operator or the underlying domain is perturbed.
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The first author was supported in part by a grant from the National Science Foundation (DMS-1500952). The second and third authors were supported in part by a grant from the National Natural Science Foundation of China (Grant Nos. 11571288 and 11971401)
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Fu, S., Qiu, C. & Zhu, W. Spectral Stability of the \({\overline{\partial }}\)-Neumann Laplacian: The Kohn–Nirenberg Elliptic Regularization. J Geom Anal 31, 3968–3987 (2021). https://doi.org/10.1007/s12220-020-00421-2
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DOI: https://doi.org/10.1007/s12220-020-00421-2
Keywords
- The \(\bar{\partial }\)-Neumann Laplacian
- The Kohn–Nirenberg elliptic regularization
- Variational eigenvalue
- Pseudoconvex domain
- Finite type condition