Geodesic
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems
Anatoli Tedeev1 ; Vincenzo Vespri2
1Vladikavkaz Scientific Center of the RAS, Russian Federation
2Universita di Firenze, Italy
Interfaces and free boundaries, Tome 17 (2015) no. 2, pp. 143-156

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DOI

In this paper we deal with a class of degenerate/singular quasilinear parabolic systems. We study a Cauchy problem in RN with an initial datum in L1. Sharp L∞ 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.
DOI : 10.4171/ifb/337
Classification : 35-XX
Mots-clés : Degenerate and singular parabolic systems, L∞ estimates, finite speed of the propagation of the support

Anatoli Tedeev  1   ; Vincenzo Vespri  2

1 Vladikavkaz Scientific Center of the RAS, Russian Federation
2 Universita di Firenze, Italy 
Anatoli Tedeev; Vincenzo Vespri. Optimal behavior of the support of the solutions to a class of degenerate parabolic systems. Interfaces and free boundaries, Tome 17 (2015) no. 2, pp. 143-156. doi: 10.4171/ifb/337
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     doi = {10.4171/ifb/337},
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