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THE HLDER CONTINUITY OF A CLASS OF 3-DIMENSION ULTRAPARABOLIC EQUATIONS 被引量:3
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作者 王文栋 张立群 《Acta Mathematica Scientia》 SCIE CSCD 2009年第3期527-538,共12页
We obtained the Cα continuity for weak solutions of a class of ultraparabolic equations with measurable coeffcients of the form δt u = δx(a(x, y, t)δx u) + b0(x, y, t)δxu + b(x, y, t)δyu, which general... We obtained the Cα continuity for weak solutions of a class of ultraparabolic equations with measurable coeffcients of the form δt u = δx(a(x, y, t)δx u) + b0(x, y, t)δxu + b(x, y, t)δyu, which generalized our recent results on KFP equations. 展开更多
关键词 hypoelliptic ultraparabolic equations holder regularity
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Boundary Holder Estimates for a Class of Degenerate Elliptic Equations in Piecewise Smooth Domains
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作者 Jiaxing HONG Genggeng HUANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2022年第5期719-738,共20页
In this paper, the authors will apply De Giorgi-Nash-Moser iteration to establish boundary H?lder estimates for a class of degenerate elliptic equations in piecewise C^(2)-smooth domains.
关键词 Degenerate elliptic De Giorgi-Nash-Moser iteration Boundary holder regularity
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