数学学报
數學學報
수학학보
ACTA MATHEMATICA SINCA
2001年
3期
293-402
,共110页
抛物型方程%正则性和存在性%G函数类
拋物型方程%正則性和存在性%G函數類
포물형방정%정칙성화존재성%G함수류
本文引进了抛物型G函数类，并得到G函数类的Holder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.
本文引進瞭拋物型G函數類，併得到G函數類的Holder連續性.G函數類概唸的引進，是為瞭證明散度型拋物型方程第一邊值問題解的存在性和正則性.
본문인진료포물형G함수류，병득도G함수류적Holder련속성.G함수류개념적인진，시위료증명산도형포물형방정제일변치문제해적존재성화정칙성.
In this paper, we introduce the concept of G class of functions of the parabolicclass, and show the Ho1der continuity of G class of functions. The introduction of theconcept contributes to the proof of the regularity and existence of the solution for thefirst boundary problem of parabolic equation in divergence form.
