Liouville theorems for the solution of a second-order linear parabolic equation with discontinuous coefficients

Theorems of Liouville type are proved for a very general second-order parabolic equation. Smoothness conditions are not imposed on the coefficients; however, it is required that a Cordes condition be satisfied which denotes the nearness to the identity of the coefficient matrix for the second derivatives.Translated from Matematicheskiee Zametki, Vol. 5, No. 5, pp. 599–606, May, 1969.