Loading…
When does the heat equation have a solution with a sequence of similar level sets?
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.
Saved in:
Published in: | Annali di matematica pura ed applicata 2015-12, Vol.194 (6), p.1595-1605 |
---|---|
Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Summary: | 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. |
---|---|
ISSN: | 0373-3114 1618-1891 |
DOI: | 10.1007/s10231-014-0435-1 |