The "hot spots" problem in planar domains with one hole.

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The "hot spots" problem in planar domains with one hole.

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Title: The "hot spots" problem in planar domains with one hole.
Author: Burdzy, Krzysztof
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.
URI: http://hdl.handle.net/1773/2132

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