15 September 2005 The hot spots problem in planar domains with one hole
Krzysztof Burdzy
Author Affiliations +
Duke Math. J. 129(3): 481-502 (15 September 2005). DOI: 10.1215/S0012-7094-05-12932-5

Abstract

There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the domain.

Citation

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Krzysztof Burdzy. "The hot spots problem in planar domains with one hole." Duke Math. J. 129 (3) 481 - 502, 15 September 2005. https://doi.org/10.1215/S0012-7094-05-12932-5

Information

Published: 15 September 2005
First available in Project Euclid: 19 October 2005

zbMATH: 1154.35330
MathSciNet: MR2169871
Digital Object Identifier: 10.1215/S0012-7094-05-12932-5

Subjects:
Primary: 35J05
Secondary: 60H30

Rights: Copyright © 2005 Duke University Press

Vol.129 • No. 3 • 15 September 2005
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