Finite speed of propagation for mixed problems in the WR class. - Archive ouverte HAL Access content directly
Journal Articles Communications in Pure and Applied Analysis Year : 2014

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

Antoine Benoit

Abstract

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.
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Dates and versions

hal-00905301 , version 1 (18-11-2013)

Identifiers

  • HAL Id : hal-00905301 , version 1

Cite

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⟩
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