完全非线性偏微分方程解的Gevrey微局部正则性

摘要

In this paper, we first go over some aspects of paradifferential calculus in Gevrey classes,then study some propositions of symbols related to fully nonlinear partial differential equations in Gevrey classes, and as an application, get Gevrey microregularity of solutions at elliptic points.%本文中,我们首先简要回顾了Gevrey 类中的仿微分运算,然后考察了相关的完全非线性偏微分方程的象征的一些性质.作为应用,我们得到解在椭圆点附近的Gevrey微局部正则性.