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

页码：1526 / 1548

页数：23

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