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

Abstract

We obtained the $C^{\alpha }$ continuity for weak solutions of a class of ultraparabolic equations with measurable coefficients of the form $${\partial }_{t}u={\partial }_x(a(x,y,t){\partial }_{x}u)+b_0(x,y,t){\partial }_{x}u+b(x,y,t){\partial }_{y}u,$$ which generalized our recent results on KFP equations.

20 pages

References in corpus (1)

• The $C^{\a}$ regularity of a class hypoelliptic ultraparabolic equations