On the error in the two-term Weyl formula for the Dirichlet Laplacian

Journal of Mathematical Physics ◽

10.1063/1.5145003 ◽

2020 ◽

Vol 61 (4) ◽

pp. 043504

Author(s):

Rupert L. Frank ◽

Simon Larson

Keyword(s):

Dirichlet Laplacian ◽

Weyl Formula

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Semiclassical Weyl Formula for a Class of Weakly Regular Elliptic Operators

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-005-3896-z ◽

2006 ◽

Vol 9 (1) ◽

pp. 1-21 ◽

Cited By ~ 1

Author(s):

Lech Zielinski

Keyword(s):

Elliptic Operators ◽

Weyl Formula

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The semigroup generated by the Dirichlet Laplacian of fractional order

Analysis & PDE ◽

10.2140/apde.2018.11.683 ◽

2018 ◽

Vol 11 (3) ◽

pp. 683-703 ◽

Cited By ~ 2

Author(s):

Tsukasa Iwabuchi

Keyword(s):

Fractional Order ◽

Dirichlet Laplacian

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TWO-TERM SPECTRAL ASYMPTOTICS FOR THE DIRICHLET LAPLACIAN ON A BOUNDED DOMAIN

Mathematical Results in Quantum Physics ◽

10.1142/9789814350365_0012 ◽

2011 ◽

Cited By ~ 4

Author(s):

RUPERT L. FRANK ◽

LEANDER GEISINGER

Keyword(s):

Bounded Domain ◽

Spectral Asymptotics ◽

Dirichlet Laplacian

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The first nontrivial curve in the fučĺk spectrum of the dirichlet laplacian on the ball consists of nonradial eigenvalues

Boundary Value Problems ◽

10.1186/1687-2770-2011-27 ◽

2011 ◽

Vol 2011 (1) ◽

Author(s):

Jiřĺ Benedikt ◽

Pavel Drábek ◽

Petr Girg

Keyword(s):

Dirichlet Laplacian

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Ray-Splitting Correction to the Weyl Formula: Experiment versus Theory

Physical Review Letters ◽

10.1103/physrevlett.90.194102 ◽

2003 ◽

Vol 90 (19) ◽

Cited By ~ 7

Author(s):

Corrie Vaa ◽

Peter M. Koch ◽

Reinhold Blümel

Keyword(s):

Weyl Formula ◽

Experiment Versus

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Minimization of the third eigenvalue of the Dirichlet Laplacian

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2000.0546 ◽

2000 ◽

Vol 456 (1996) ◽

pp. 985-996 ◽

Cited By ~ 28

Author(s):

Antoine Henrot ◽

Dorin Bucur

Keyword(s):

Dirichlet Laplacian ◽

The Third

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An uncertainty principle and lower bounds for the Dirichlet Laplacian on graphs

Journal of Spectral Theory ◽

10.4171/jst/287 ◽

2019 ◽

Vol 10 (1) ◽

pp. 115-145

Author(s):

H. Daniel Lenz ◽

Peter Stollmann ◽

Gunter Stolz

Keyword(s):

Lower Bounds ◽

Uncertainty Principle ◽

Dirichlet Laplacian

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Eigenvalues of Dirichlet Laplacian within the class of open sets with constant diameter

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/s12215-018-0389-z ◽

2018 ◽

Vol 69 (1) ◽

pp. 71-113

Author(s):

Zakaria Fattah ◽

Mohamed Berrada

Keyword(s):

Dirichlet Laplacian ◽

Constant Diameter

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On the Attainability of the Best Constant in Fractional Hardy-Sobolev Inequalities Involving the Spectral Dirichlet Laplacian

Functional Analysis and Its Applications ◽

10.1134/s0016266319040105 ◽

2019 ◽

Vol 53 (4) ◽

pp. 317-321

Author(s):

N. S. Ustinov

Keyword(s):

Sobolev Inequalities ◽

Dirichlet Laplacian ◽

Best Constant

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Examples of embedded eigenvalues for the Dirichlet Laplacian in perturbed waveguides

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670120107 ◽

1990 ◽

Vol 12 (1) ◽

pp. 91-93 ◽

Cited By ~ 11

Author(s):

K. J. Witsch

Keyword(s):

Dirichlet Laplacian ◽

Embedded Eigenvalues

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