论文标题
Stefan问题和凹陷
The Stefan problem and concavity
论文作者
论文摘要
我们为一阶段Stefan问题构建了示例，该示例表明该解决方案的$α$ - concancevity总体上不会以$ 0 \ leα<1/2 $的及时保存。特别是，这表明，与固定凸域的热方程式相反，对于Stefan问题的解决方案，并未保留对数凹陷。
We construct examples for the one-phase Stefan problem which show that $α$-concavity of the solution is in general not preserved in time, for $0 \le α<1/2$. In particular, this shows that, in contrast to the case of the heat equation for a fixed convex domain, log concavity is not preserved for solutions of the Stefan problem.
