Abstract
We investigate some geometric properties of level sets of the solutions of parabolic problems in convex rings. We introduce the notion of parabolic quasi-concavity, which involves time and space jointly and is a stronger property than the spatial quasi-concavity, and study the convexity of superlevel sets of the solutions.
Original language | English |
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Pages (from-to) | 1526-1548 |
Number of pages | 23 |
Journal | Mathematische Nachrichten |
Volume | 283 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2010 Nov |
Keywords
- Convexity
- Parabolic equations
- Quasi-concavity
ASJC Scopus subject areas
- Mathematics(all)