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Boundary quasi-orthogonality and sharp inclusion bounds for large dirichlet eigenvalues

Date

Authors

Barnett, Alex

Hassell, Andrew

Publisher

SIAM Publications

Abstract

We study eigenfunctions fj and eigenvalues φj of the Dirichlet Laplacian on a bounded domain Ω C ℝn with piecewise smooth boundary. We bound the distance between an arbitrary parameter E >0 and the spectrum {Ej} in terms of the boundary L2-norm of a n

Keywords

Keywords: Dirichlet; Eigen function; Eigenvalue; Helmholtz; Laplacians; Particular solution; Diffractive optics; Helmholtz equation; Laplace transforms; Mathematical operators; Theorem proving; Eigenvalues and eigenfunctions Dirichlet; Eigenfunction; Eigenvalue; Helmholtz; Laplacian; Particular solutions

URI

http://hdl.handle.net/1885/70695

Collections

ANU Research Publications

Source

SIAM Journal of Numerical Analysis

Type

Journal article

DOI

10.1137/100796637

Restricted until

2037-12-31

Downloads

File

Description

01_Barnett_Boundary_quasi-orthogonality_2011.pdf (398.57 KB)