Spectral stability of the \(\overline{\partial}\)-Neumann Laplacian: the Kohn-Nirenberg elliptic regularization

DOI10.1007/s12220-020-00421-2zbMath1470.32111arXiv1908.03255OpenAlexW3027018866MaRDI QIDQ2024697

Siqi Fu, Chunhui Qiu, Weixia Zhu

Publication date: 4 May 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03255

zbMATH Keywords

pseudoconvex domainvariational eigenvalue\(\bar{\partial}\)-Neumann Laplacianfinite-type conditionKohn-Nirenberg elliptic regularization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Deformations of complex structures (32G05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Necessary conditions for subellipticity of the \({\bar\partial}\)-Neumann problem
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Distance to \(C^k\) hypersurfaces
• Real hypersurfaces, orders of contact, and applications
• Continuous domain dependence of the eigenvalues of the Dirichlet Laplacian and related operators in Hilbert space
• Partial differential equations. 2: Qualitative studies of linear equations
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• Spectral stability of Dirichlet second order uniformly elliptic operators
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Harmonic integrals on strongly pseudo-convex manifolds. II
• Curvature Measures
• Sharp boundary estimates for elliptic operators
• Several Complex Variables and the Geometry of Real Hypersurfaces
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

This page was built for publication: Spectral stability of the \(\overline{\partial}\)-Neumann Laplacian: the Kohn-Nirenberg elliptic regularization