On the Dirichlet problem for fully nonlinear parabolic equations

The paper contains a description of new class of fully nonlinear second-order parabolic equations. The pecularity of this class is a nonlinear dependence of equations both on first-order time derivative and second-order spacial ones. The application of classical continuity method to solve the first initial-boundary value problem for such equations is also discussed. Bibl. 15 titles.