Stability and approximations of eigenvalues and eigenfunctions for the Neumann Laplacian, part I

We investigate stability and approximation properties of the lowest nonzero eigenvalue and corresponding eigenfunction of the Neumann Laplacian on domains satisfying a heat kernel bound condition. The results and proofs in this paper will be used and extended in a sequel paper to obtain stabilit...

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Bibliographic Details
Main Authors: Michael M. H Pang, Rodrigo Banuelos
Format: Article
Language:English
Published: Texas State University 2008-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/145/abstr.html