Holes and hot spots

Ian Stewart ()
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Ian Stewart: Department of Mathematics University of Warwick

Nature, 1999, vol. 401, issue 6756, 863-865

Abstract: The Laplace operator has had a central place in the development of large areas of the physical sciences, and remains a subject of investigation. The so-called 'hotspots conjecture' is important in the theory underlying the Laplace operator: applied to heat diffusion, it states that the hottest and coldest regions eventually lie on the boundary of any planar domain. This expected answer, however, is it seems wrong.

Date: 1999
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DOI: 10.1038/44730

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