scholarly journals Conformal spectral stability estimates for the Neumann Laplacian

2016 ◽  
Vol 289 (17-18) ◽  
pp. 2133-2146 ◽  
Author(s):  
V. I. Burenkov ◽  
V. Gol'dshtein ◽  
A. Ukhlov
Keyword(s):  
Spectral Stability ◽  
Stability Estimates ◽  
Neumann Laplacian

scholarly journals Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains

2013 ◽  
Vol 264 (9) ◽  
pp. 2097-2135 ◽  
Author(s):  
Antoine Lemenant ◽  
Emmanouil Milakis ◽  
Laura V. Spinolo
Keyword(s):  
Spectral Stability ◽  
Stability Estimates ◽  
Neumann Laplacian

scholarly journals Spectral stability of the Neumann Laplacian

2002 ◽  
Vol 186 (2) ◽  
pp. 485-508 ◽  
Author(s):  
V.I. Burenkov ◽  
E.B. Davies
Keyword(s):  
Spectral Stability ◽  
Neumann Laplacian

scholarly journals Spectral Stability of the $${\overline{\partial }}-$$Neumann Laplacian: Domain Perturbations

2022 ◽  
Vol 32 (2) ◽  
Author(s):  
Siqi Fu ◽  
Weixia Zhu
Keyword(s):  
Bounded Domain ◽  
Spectral Stability ◽  
Pseudoconvex Domains ◽  
Continuity Properties ◽  
Quantitative Estimates ◽  
Lower Semi ◽  
Neumann Laplacian ◽  
Domain Perturbations ◽  
Satisfy Property

AbstractWe study spectral stability of the $${\bar{\partial }}$$ ∂ ¯ -Neumann Laplacian on a bounded domain in $${\mathbb {C}}^n$$ C n when the underlying domain is perturbed. In particular, we establish upper semi-continuity properties for the variational eigenvalues of the $${\bar{\partial }}$$ ∂ ¯ -Neumann Laplacian on bounded pseudoconvex domains in $${\mathbb {C}}^n$$ 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 $${\mathbb {C}}^n$$ C n .

scholarly journals Spectral stability estimates of Dirichlet divergence form elliptic operators

2020 ◽  
Vol 10 (4) ◽  
Author(s):  
Vladimir Gol’dshtein ◽  
Valerii Pchelintsev ◽  
Alexander Ukhlov
Keyword(s):  
Divergence Form ◽  
Elliptic Operators ◽  
Spectral Stability ◽  
Stability Estimates

scholarly journals Conformal spectral stability estimates for the Dirichlet Laplacian

2015 ◽  
Vol 288 (16) ◽  
pp. 1822-1833 ◽  
Author(s):  
V. I. Burenkov ◽  
V. Gol'dshtein ◽  
A. Ukhlov
Keyword(s):  
Spectral Stability ◽  
Stability Estimates ◽  
Dirichlet Laplacian
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