Dunkl Hyperbolic Equations

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