The H\"older continuity of a class of 3-dimension ultraparabolic equations

Abstract

We obtained the Cα continuity for weak solutions of a class of ultraparabolic equations with measurable coefficients of the form ∂t u = ∂x(a(x,y,t)∂x u) +b0(x,y,t)∂x u+b(x,y,t)∂y u, which generalized our recent results on KFP equations.

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