Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions

Hassell, Andrew; Tao, T

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Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions

Date

2002

Authors

Hassell, Andrew

Tao, T

Publisher

International Press

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

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http://hdl.handle.net/1885/72711

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ANU Research Publications

Source

Mathematical Research Letters

Type

Journal article

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Cultural advice

Upper and lower bounds for normal derivatives of Dirichlet eigenfunctions

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