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Convex domains with stationary hot spots

✍ Scribed by Marc Chamberland; David Siegel

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
97 KB
Volume
20
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by L. E. Payne

Consider the problem of heat flow in a convex domain in 1L with Dirichlet boundary condition and constant initial temperature. We show that the solution has a fixed hot spot if the domain is invariant under the action of an essential symmetry group.

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