椭圆与非椭圆算子的迭代定理
The Theorem of Iterates for elliptic and non-elliptic Operators
摘要：
本文利用近年来发展起来的一般超可微结构理论，提出了一种研究迭代问题的新方法。我们的框架概括了许多以前的设置，包括Gevrey的情况下，使我们能够，第一次，证明非椭圆微分算子的非解析迭代定理。特别地，通过推广Baouendi和Metivier的一个定理，我们得到了主型亚椭圆解析算子关于几种非解析超可微结构的迭代定理.
英文摘要：
We introduce a new approach for the study of the Problem of Iterates using the theory on general ultradifferentiable structures developed in the last years. Our framework generalizes many of the previous settings including the Gevrey case and enables us, for the first time, to prove non-analytic Theorems of Iterates for non-elliptic differential operators. In particular, by generalizing a Theorem of Baouendi and Metivier we obtain the Theorem of Iterates for hypoelliptic analytic operators of principal type with respect to several non-analytic ultradifferentiable structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
