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ESTIMATES FOR DIRICHLET EIGENFUNCTIONS

Published online by Cambridge University Press:  01 April 1999

M. VAN DEN BERG  and
E. BOLTHAUSEN
M. VAN DEN BERG
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW; [email protected]
E. BOLTHAUSEN
Affiliation:
Institut für Angewandte Mathematik, Universität Zürich, Winterthurer Straße 190, CH-8057 Zürich, Switzerland; [email protected]
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Abstract

Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 59 , Issue 2 , April 1999 , pp. 607 - 619
Copyright
The London Mathematical Society 1999

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