Method of energy estimates for the study of a behavior of weak solutions of the equation of slow diffusion with singular boundary data

The equation of slow diffusion with singular boundary data is considered. An estimate of all weak solutions of such a problem is obtained, provided that the boundary regime is localized. The comparative analysis of the results obtained by the method of energy estimates and the barrier technique for the equation of porous medium is presented. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.