论文标题
$ \ mathbb {c}^2 $中的亚细乘数算法
Algorithms for subelliptic multipliers in $\mathbb{C}^2$
论文作者
论文摘要
我们给出了$ \ mathbb {c}^2 $中有限类型的pseudoconvex域的示例，其中kohn算法用于下elliptic估计，无法以类型的类型的划分命令产生有效的下限。我们展示了如何修改算法以获得有效的程序，以证明在$ \ mathbb {c}^2 $中具有实际分析边界的有限型域的域中，使条件比假毫无用量更强。我们以对更高维度的概括结束。
We give examples of pseudoconvex domains of finite type in $\mathbb{C}^2$ where the Kohn algorithm for subelliptic estimates fails to yield an effective lower bound for the order of subellipticity in terms of the type. We show how to modify the algorithm to obtain an effective procedure to prove subellipticity on domains of finite type in $\mathbb{C}^2$ with real analytic boundary satisfying a condition slightly stronger than pseudoconvexity. We close with a generalization to higher dimensions.
