In this paper we deal with a class of degenerate/singular quasilinear parabolic systems. We study a Cauchy problem in $ 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.
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems / Tedeev, Anatoli; Vespri Vincenzo. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - STAMPA. - 17:(2015), pp. 143-156. [10.4171/IFB/337]
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems
VESPRI, VINCENZO
2015
Abstract
In this paper we deal with a class of degenerate/singular quasilinear parabolic systems. We study a Cauchy problem in $ 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.File in questo prodotto:
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