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Decay of mass of the solution to the Cauchy
problem for a degenerate parabolic equation with nonlinear
Institute of Applied Mathematics and Mechanics of NAS of Ukraine,
R.Luxemburg str.74, 83114 Donetsk, Ukraine
Abstract. We prove precise decay in time estimates of the
total mass of a solution to the Cauchy problem for a
quasilinear degenerate parabolic equation with absorption
terms. The equation may involve additional terms whose behavior
at infinity is described by Wolf potentials.
Such estimates are given in terms of new critical exponents.