perturbations of the laplacian
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scholarly journals On fractional powers of singular perturbations of the Laplacian

2018 ◽  
Vol 275 (6) ◽  
pp. 1551-1602 ◽  
Author(s):  
Vladimir Georgiev ◽  
Alessandro Michelangeli ◽  
Raffaele Scandone
Keyword(s):  
Singular Perturbations ◽  
Fractional Powers ◽  
Perturbations Of The Laplacian

Multiplicative perturbations of the Laplacian and related approximation problems

2011 ◽  
Vol 11 (4) ◽  
pp. 771-792 ◽  
Author(s):  
Francesco Altomare ◽  
Sabina Milella ◽  
Graziana Musceo
Keyword(s):  
Approximation Problems ◽  
Perturbations Of The Laplacian

scholarly journals Rotating Singular Perturbations of the Laplacian

2004 ◽  
Vol 5 (4) ◽  
pp. 773-808 ◽  
Author(s):  
Michele Correggi ◽  
Gianfausto Dell’Antonio
Keyword(s):  
Singular Perturbations ◽  
Perturbations Of The Laplacian

LIFSHITZ ASYMPTOTICS AND LOCALIZATION FOR RANDOM QUANTUM WAVEGUIDES

2000 ◽  
Vol 12 (10) ◽  
pp. 1345-1365 ◽  
Author(s):  
FRANK KLEESPIES ◽  
PETER STOLLMANN
Keyword(s):  
Integrated Density Of States ◽  
Abstract Form ◽  
Quantum Waveguide ◽  
Multi Scale ◽  
Waveguide Model ◽  
Dense Point ◽  
Domain Perturbations ◽  
Perturbations Of The Laplacian ◽  
Quantum Waveguides ◽  
Fluctuation Boundary

We investigate a family of Dirichlet Laplacians on randomly dented or bulged strips in ℝ2; for this random quantum waveguide model, dense point spectrum with exponentially localized eigenfunctions near its fluctuation boundary at the bottom of the spectrum and Lifshitz asymptotics of the integrated density of states are established. For this purpose, multi-scale analysis in the quite abstract form of [21] is applied, and domain perturbations of the Laplacian are studied.

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