When does the heat equation have a solution with a sequence of similar level sets?
classification
🧮 math.AP
keywords
solutionequationheatlevelproblemsequencesetssimilar
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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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