JournalsifbVol. 17, No. 2pp. 143–156

Optimal behavior of the support of the solutions to a class of degenerate parabolic systems

  • Anatoli Tedeev

    Vladikavkaz Scientific Center of the RAS, Russian Federation
  • Vincenzo Vespri

    Universita di Firenze, Italy
Optimal behavior of the support of the solutions to a class of degenerate parabolic systems cover
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Abstract

In this paper we deal with a class of degenerate/singular quasilinear parabolic systems. We study a Cauchy problem in RN\mathbb R^N with an initial datum in L1L^1. Sharp LL^{\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.

Cite this article

Anatoli Tedeev, Vincenzo Vespri, Optimal behavior of the support of the solutions to a class of degenerate parabolic systems. Interfaces Free Bound. 17 (2015), no. 2, pp. 143–156

DOI 10.4171/IFB/337