Spectral Stability of the $${\overline{\partial }}$$-Neumann Laplacian: The Kohn–Nirenberg Elliptic Regularization

2020 ◽  
Author(s):  
Siqi Fu ◽  
Chunhui Qiu ◽  
Weixia Zhu
Keyword(s):  
Spectral Stability ◽  
Elliptic Regularization ◽  
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 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 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

Operational and Spectral Stability of Perovskite Light-Emitting Diodes

2021 ◽  
pp. 3114-3131
Author(s):  
Fanghao Ye ◽  
Qingsong Shan ◽  
Haibo Zeng ◽  
Wallace C. H. Choy
Keyword(s):  
Light Emitting Diodes ◽  
Spectral Stability ◽  
Light Emitting

scholarly journals Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit

2014 ◽  
Vol 367 (3) ◽  
pp. 2159-2212 ◽  
Author(s):  
Mathew A. Johnson ◽  
Pascal Noble ◽  
L. Miguel Rodrigues ◽  
Kevin Zumbrun
Keyword(s):  
Periodic Wave ◽  
Spectral Stability ◽  
De Vries ◽  
Wave Trains ◽  
Sivashinsky Equation

Ambarzumyan-type theorem for the impulsive Sturm–Liouville operator

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ran Zhang ◽  
Chuan-Fu Yang
Keyword(s):  
Liouville Operator ◽  
Type Theorem ◽  
Sturm Liouville ◽  
Neumann Laplacian ◽  
Neumann Eigenvalues

AbstractWe prove that if the Neumann eigenvalues of the impulsive Sturm–Liouville operator {-D^{2}+q} in {L^{2}(0,\pi)} coincide with those of the Neumann Laplacian, then {q=0}.

scholarly journals Spectral Stability of Ideal-Gas Shock Layers

2008 ◽  
Vol 194 (3) ◽  
pp. 1029-1079 ◽  
Author(s):  
Jeffrey Humpherys ◽  
Gregory Lyng ◽  
Kevin Zumbrun
Keyword(s):  
Ideal Gas ◽  
Spectral Stability ◽  
Shock Layers

ON THE INSTABILITY OF PERIODIC WAVES FOR DISPERSIVE EQUATIONS—REVISITED

2021 ◽  
pp. 1-23
Author(s):  
FÁBIO NATALI ◽  
SABRINA AMARAL
Keyword(s):  
Traveling Wave ◽  
Orbital Stability ◽  
Traveling Wave Solutions ◽  
Spectral Stability ◽  
Dispersive Equations ◽  
Periodic Waves ◽  
General Proof ◽  
Wave Solutions ◽  
Periodic Traveling Wave

Abstract The purpose of this paper is to present an extension of the results in [8]. We establish a more general proof for the moving kernel formula to prove the spectral stability of periodic traveling wave solutions for the regularized Benjamin–Bona–Mahony type equations. As applications of our analysis, we show the spectral instability for the quintic Benjamin–Bona–Mahony equation and the spectral (orbital) stability for the regularized Benjamin–Ono equation.

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