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Sharp estimates for Dirichlet eigenfunctions in Horn-Shaped regions

✍ Scribed by Rodrigo Bañuelos; Burgess Davis

Publisher: Springer
Year: 1994
Tongue: English
Weight: 74 KB
Volume: 162
Category: Article
ISSN: 0010-3616
DOI: 10.1007/bf02105192

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## Introduction The following result on the exponential decay of the eigenfunctions for the Dirichlet Laplacian in horn shaped regions is proved in R. Ban~uelos and B. Davis [5], [6]. Theorem A. Let %: (0, ) Ä (0, 1] be continuous and define Suppose %(x) a 0 as x A and let . \* be any L 2 -eigen

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