G函数类及其应用

The G Class of Functions and Its Applications

本文引进了抛物型 Ｇ函数类，并得到 Ｇ函数类的 Ｈǒｌｄｅｒ连续性． Ｇ函数类概念的引进，是为了证明散度型抛物型方程第一边值问题解的存在性和正则性．

In this paper, we introduce the concept of G class of functions of the parabolic class, and show the Hǒlder continuity of G class of functions. The introduction of the concept contributes to the Proof of the regularity and existence of the solution for the first boundary Problem of parabolic equation in divergence form.