Contact parabolic boundary problems for general equations of degree 2.
Solvability of boundary value problems are established for parabolic equations of degree 2 with changing time direction. The result of this work is apparent presentation of orthogonality condition (solvability) in Holder's classes of functions H<sub>x,t</sub><sup> p,p/2</sup> for the equations sgn(x-kt)u<sub>t</sub>=a<sup>2</sup>u<sub>xx</sub>+bu<sub>x</sub>+cu, where a, b,c,k- are some real contact date. It has been shown that smoothness of decision doesn't rise with increase of smoothness of input data at p-[p] ≥1/2.