The hölder continuity of a class of 3-dimension ultraparabolic equations

Abstract We obtained the C α continuity for weak solutions of a class of ultraparabolic equations with measurable coefficients of the form ∂ t u = ∂ ( a ( x , y , t ) ∂ x u ) + b 0 ( x , y , t ) ∂ x u + b ( x , y , t ) ∂ y u , which generalized our recent results on KFP equations.