When does the heat equation have a solution with a sequence of similar level sets?
When does the heat equation have a solution with a sequence of similar level sets?
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热方程何时有具有一系列相似水平集的解？
DOI：
10.1007/s10231-014-0435-1
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发表时间：
2015
影响因子：
1
通讯作者：
Tatsuki Kawakami and Shigeru Sakaguchi
中科院分区：
文献类型：
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作者：
Tatsuki Kawakami and Shigeru Sakaguchi
本文考虑热方程的过定柯西问题。证明了如果问题具有具有一定相似水平集序列的非平凡非负解，则该解必须是径向对称的。
In this paper, we consider an overdetermined Cauchy problem for the heat equation. We prove that if the problem has a non-trivial nonnegative solution with a certain sequence of similar level sets, then the solution must be radially symmetric.