Parabolic quasi-concavity for solutions to parabolic problems in convex rings

被引：22
作者：
Ishige, Kazuhiro [1 ]
Salani, Paolo [2 ]
机构：
[1] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan
[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
来源：
MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 11期
关键词：
Parabolic equations; convexity; quasi-concavity; LEVEL SETS; BOUNDARY; MINKOWSKI; PRINCIPLE; EQUATIONS;
D O I：
10.1002/mana.200910242
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码：1526 / 1548
页数：23
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