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
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.
基金partially supported by the NSF of China (10325104)
文摘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.
基金supported by the National Natural Science Foundation of China(Nos.11631011,11871160,12141105)。
文摘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.