This article is cited in 3 papers

Dunkl Hyperbolic Equations

Hatem Mejjaoli

Faculty of Sciences of Tunis, Department of Mathematics, 1060 Tunis, Tunisia

Abstract: We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are also studied.

Keywords: Dunkl operators; Dunkl symmetric systems; energy estimates; finite speed of propagation; Dunkl-wave equations with variable coefficients.

MSC: 35L05; 22E30

Received: May 10, 2008; in final form November 24, 2008; Published online December 11, 2008

Language: English

DOI: 10.3842/SIGMA.2008.084

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ArXiv: 0812.2191