Finite speed of propagation for mixed problems in the WR class.

Antoine Benoit (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

In this article we are interested in the propagation speed for solution of hyperbolic boundary value problem in the WR class. Using the Holm- gren principle, we show that this speed is finite and we are able to give an explicit expression for the maximal speed. Due to propagation phe- nomenon along the boundary specific to the W R class, the maximal speed can be larger than the propagation speed for the Cauchy problem. This is consistent with examples of the litterature.

Domaines: Equations aux dérivées partielles [math.AP]

Antoine Benoit. Finite speed of propagation for mixed problems in the WR class.. Communications in Pure and Applied Analysis, 2014, 13 (6), pp.2351-2358. ⟨hal-00905301⟩