scholarly journals Spectral Asymptotics of the Dirichlet Laplacian on a Generalized Parabolic Layer

2020 ◽  
Vol 92 (2) ◽  
Author(s):  
Pavel Exner ◽  
Vladimir Lotoreichik
Keyword(s):  
Spectral Asymptotics ◽  
Dirichlet Laplacian ◽  
Parabolic Layer

scholarly journals Spectral asymptotics of the Dirichlet Laplacian in a conical layer

2015 ◽  
Vol 14 (3) ◽  
pp. 1239-1258 ◽  
Author(s):  
Nicolas Raymond ◽  
Thomas Ourmières-Bonafos ◽  
Monique Dauge
Keyword(s):  
Spectral Asymptotics ◽  
Dirichlet Laplacian

scholarly journals Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain

2020 ◽  
Vol 2020 (766) ◽  
pp. 195-228 ◽  
Author(s):  
Rupert L. Frank ◽  
Simon Larson
Keyword(s):  
Asymptotic Formula ◽  
Convex Domain ◽  
Lipschitz Domain ◽  
Spectral Asymptotics ◽  
Lipschitz Boundary ◽  
Dirichlet Laplacian ◽  
Open Set ◽  
Universal Bound

AbstractWe prove a two-term Weyl-type asymptotic formula for sums of eigenvalues of the Dirichlet Laplacian in a bounded open set with Lipschitz boundary. Moreover, in the case of a convex domain we obtain a universal bound which correctly reproduces the first two terms in the asymptotics.

scholarly journals Spectral Asymptotics for Stable Trees

2010 ◽  
Vol 15 (0) ◽  
pp. 1772-1801 ◽  
Author(s):  
David Croydon ◽  
Benjamin Hambly
Keyword(s):  
Spectral Asymptotics
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