Properties of solutions of linear and quasilinear second-order equations with measurable coefficients which are neither strictly nor uniformly parabolic

In the cylinder $Q_T=\Omega\times[o,T]$, where $\Omega$ is a bounded domain in $R^n$, linear and quasilinear second-order equations with measurable coefficients in $Q_T$ are considered which are, in general, neither strictly nor uniformly parablic. Previous results of the author for equations of this sort are developed.