Log-concavity in some parabolic problems
Log-concavity in some parabolic problems
复制标题
一些抛物线问题中的对数凹性
DOI：
10.1111/mafi.12098
复制
发表时间：
1999
影响因子：
1.6
通讯作者：
B. Kawohl
中科院分区：
文献类型：
--
作者：
A. Greco;B. Kawohl
本文改进了Korevaar建立的二阶抛物型方程的一个极大值原理，并利用这个结果研究了一些边值问题。特别是，我们nd结构条件的方程，和适当的条件域的问题和边界数据，suce产生的空间对数的（正）解决方案。文中给出了应用实例，并指出了尚待解决的问题.我们还调查了一些经典的，以及最近的贡献的主题。
We improve a concavity maximum principle for parabolic equations of the second order, which was initially established by Korevaar, and then we use this result to investigate some boundary value problems. In particular, we nd structural conditions on the equation, and suitable conditions on the domain of the problem and on the boundary data, that suce to yield spatial log-concavity of the (positive) solution. Examples and applications are provided, and some unsolved problems are pointed out. We also survey some classical as well as recent contributions to the subject.