Abstract
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.
Original language | English |
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Pages (from-to) | 1595-1605 |
Number of pages | 11 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 194 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2014 Jun 15 |
Keywords
- Heat equation
- Overdetermined Cauchy problem
- Similar level sets
ASJC Scopus subject areas
- Applied Mathematics