On the temporal decay estimates for the degenerate parabolic system
Tariel A. Sanikidze, Anatoli Fedorovich Tedeev · Communications on Pure & Applied Analysis · 2012
We study long-time behavior for the Cauchy problem of degenerateparabolic system which in the scalar case coincides with classicalporous media equation. Sharp bounds of the decay in time estimatesof a solution and its size of support were established. Moreover,local space-time estimates under the optimal assumption on initialdata were proven.