Parabolic quasi‐concavity for solutions to parabolic problems in convex rings
Parabolic quasi‐concavity for solutions to parabolic problems in convex rings
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DOI：
10.1002/mana.200910242
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发表时间：
2010-11
影响因子：
1
通讯作者：
Kazuhiro Ishige;P. Salani
中科院分区：
文献类型：
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作者：
Kazuhiro Ishige;P. Salani
研究凸环上抛物型问题解的水平集的一些几何性质。我们引入抛物型拟凹性的概念，它是时间和空间共同涉及的，是比空间拟凹性更强的性质，并研究了其解的超水平集的凸性（©2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim）
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 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)