To solutions of the one non-divergent type parabolic equation with double non-linearity

摘要

The properties of the weak solution of problem Cauchy for one parabolic equa-tion with double nonlinearity and with lower members are investigated. The researched equation is best combination of forms of the equation of nonlinear diffusion, fast diffusion, the equation to very fast diffusion and p-Laplace heat conductivity equation by action of convective transfer the velocity of which depend from time.