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arXiv · 1403.6203

When does the heat equation have a solution with a sequence of similar level sets?

Tatsuki Kawakami·Shigeru Sakaguchi
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Abstract

In this paper we consider the overdetermined Cauchy problem for the heat equation. We prove that if the problem has a nontrivial nonnegative solution with a certain sequence of similar level sets, then the solution must be radially symmetric.

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Tatsuki Kawakami, Shigeru Sakaguchi. 2014-05-19. When does the heat equation have a solution with a sequence of similar level sets?. https://doi.org/10.1007/s10231-014-0435-1

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