Maxima of Neumann eigenfunctions

DOI10.1063/1.2901069zbMath1152.81406OpenAlexW1988660008MaRDI QIDQ5504883

Harold Donnelly

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2901069

zbMATH Keywords

modified version of the hot spots conjecture

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Unnamed Item
• Rearrangements and convexity of level sets in PDE
• A counterexample to the ``hot spots conjecture
• On the ``hot spots conjecture of J. Rauch
• Scaling coupling of reflecting Brownian motions and the hot spots problem
• The Eigenvalues of an Equilateral Triangle
• An inequality for potentials and the 'hot-spots' conjecture

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