Decay of the mass of the solution to the Cauchy problem of the degenerate parabolic equation with nonlinear potential

Abstract

We prove the precise decay in time estimates of the total mass of a solution to the Cauchy problem for quasi-linear degenerate parabolic equations with absorption terms. The equation may involve additional terms whose behaviour at infinity is described by Wolf potentials. In terms of new critical exponents, we control precise behaviour of the total mass.