Consider the problem of heat dow in a convex domain in R-n 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. (C) 1997 by B. G. Teubner Stuttgart-John Wiley & Sons Ltd. [References: 15]
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机译:考虑具有Dirichlet边界条件和恒定初始温度的R-n凸域中的热道问题。我们证明,如果域在基本对称组的作用下不变,则解决方案具有固定的热点。 (C)1997年,作者是B. G. Teubner斯图加特-约翰·威利父子有限公司[参考文献:15]
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