The G Class of Functions and Its Applications

Citation
Li, Shenghong et Liu, Xingao, The G Class of Functions and Its Applications, Acta mathematica Sinica. English series (Print) , 16(3), 2000, pp. 455-468
ISSN journal
14398516
Volume
16
Issue
3
Year of publication
2000
Pages
455 - 468
Database
ACNP
SICI code
Abstract
In this paper, we introduce the concept of the G class of functions of the parabolic class, and show the Hölder continuity of the G class of functions. The introduction of this concept contributes to the proof of the regularity and existence of the solution for the first boundary problem of parabolic equation in divergence form.