Optimal behavior of the support of the solutions to a class of degenerate parabolic systems
Anatoli Fedorovich Tedeev, Vincenzo Vesprı · Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2015
In this paper we deal with a class of degenerate/singular quasilinear parabolic systems. We study a Cauchy problem in \mathbb R^N with an initial datum in L^1 . Sharp L^{\infty} estimates are proved. In the degenerate case, assuming that the initial datum has compact support, we prove the optimal speed of propagation of the support.