The G Class of Functions and Its Applications |
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| Authors: | Shenghong Li Xiangao Liu |
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| Affiliation: | (1) Department of Mathematics, Zhejiang University, Hangzhou, 310027, P. R. China;(2) Department of Mathematics, Fudan University, Shanghai, 200433, P. R. China |
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| Abstract: | Abstract In this paper, we introduce the concept of the G class of functions of the parabolic class, and show the H?lder 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. Project supported by NNFC (79790130) and ZJPNFC(198013) and STDF of Shanghai |
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| Keywords: | Parabolic equation Regularity and existence G class of functions |
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