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Waiting time of propagation and the backward motion of interfaces in thin-film flow theory

Method of difference-functional inequalities in the study of initial 
propagation of the supports of generalized solutions of higher order quasilinear 
parabolic equations is described. As application, we find some flatness conditions 
on the initial function, which guarantee appearance of a waiting time 
in the propagation and backward motion of interfaces phenomena in thin-film 
flow type equations. Some lower estimate of backward motion speed is obtained 
too.