抄録
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.
本文言語 | English |
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ページ(範囲) | 1526-1548 |
ページ数 | 23 |
ジャーナル | Mathematische Nachrichten |
巻 | 283 |
号 | 11 |
DOI | |
出版ステータス | Published - 2010 11月 |
ASJC Scopus subject areas
- 数学 (全般)