On a new kind of convexity for solutions of parabolic problems
On a new kind of convexity for solutions of parabolic problems
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DOI：
10.3934/dcdss.2011.4.851
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发表时间：
2010-11
期刊：
影响因子：
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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
我们引入了空间函数和时间函数的抛物线拟凹的概念，推广了通常的拟凹和文[18]中引入的抛物线拟余腔的概念。然后，我们研究了初始数据为零的抛物型问题解的$-α-抛物型拟凹性。本文所得结果是文[18]中某些结果的推广。
We introduce the notion of $\alpha$-parabolic quasi-concavity for functions of space and time, which extends the usual notion of quasi-concavity and the notion of parabolic quasi-cocavity introduced in [18]. Then we investigate the $\alpha$-parabolic quasi-concavity of solutions to parabolic problems with vanishing initial datum. The results here obtained are generalizations of some of the results of [18].