On the behaviour of solutions of degenerated nonlinear parabolic equations

The aim of this work is to study the behaviour of solutions of the initial boundary problem for degenerated nonlinear parabolic equations of the second order. The conditions of existence and non-existence solutions are established. Moreover, the behaviour of the solution is studied. We obtain the estimations in terms of characterizing the initial and weight functions on infinity, without a lower bound on the initial function.