L.S. Chadli, S. Melliani, A. Moujahid
Laboratoire de Mathématiques Appliquées & Calcul Scientifique
Sultan Moulay Slimane University
BP 523, 23000, Beni Mellal, MOROCCO

Abstract. In the first part of this article, we will prove an existence-uniqueness result for generalized solutions of a mixed problem for linear hyperbolic system in the Colombeau algebra. In the second part, we apply the result to a wave propagation problem in a discontinuous environment.

Received: April 16, 2014

AMS Subject Classification: 35L03, 46F30

Key Words and Phrases: generalized functions, hyperbolic system

Download paper from here.

Google Scholar; zbMATH; DOI (International DOI Foundation); WorldCAT.

This work is licensed under the Creative Commons Attribution International License (CC BY).