Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions

Hassell, Andrew; Tao, T

A change is coming. Click to see a sneak peek of the new Open Research Repository.

Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions

Description

Suppose that M is a compact Riemannian manifold with boundary and u is an L2-normalized Dirichlet eigenfunction with eigenvalue λ. Let Ψ be its normal derivative at the boundary. Scaling considerations lead one to expect that the L2 norm of Ψ will grow

dc.contributor.author	Hassell, Andrew
dc.contributor.author	Tao, T
dc.date.accessioned	2015-12-13T22:23:18Z
dc.date.available	2015-12-13T22:23:18Z
dc.identifier.issn	1073-2780
dc.identifier.uri	http://hdl.handle.net/1885/72711
dc.description.abstract	Suppose that M is a compact Riemannian manifold with boundary and u is an L2-normalized Dirichlet eigenfunction with eigenvalue λ. Let Ψ be its normal derivative at the boundary. Scaling considerations lead one to expect that the L2 norm of Ψ will grow
dc.publisher	International Press
dc.source	Mathematical Research Letters
dc.title	Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions
dc.type	Journal article
local.description.notes	Imported from ARIES
local.description.refereed	Yes
local.identifier.citationvolume	9
dc.date.issued	2002
local.identifier.absfor	010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublication	MigratedxPub3391
local.type.status	Published Version
local.contributor.affiliation	Hassell, Andrew, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliation	Tao, T, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage	289
local.bibliographicCitation.lastpage	305
dc.date.updated	2015-12-11T08:04:36Z
local.identifier.scopusID	2-s2.0-0036330109
Collections	ANU Research Publications

Download

There are no files associated with this item.

Show simple item record