TL;DR
This paper introduces Dunkl symmetric systems, establishes their well-posedness, describes their finite speed of propagation, and explores semi-linear Dunkl-wave equations, contributing to the mathematical understanding of these generalized wave equations.
Contribution
The paper presents the first comprehensive analysis of Dunkl symmetric systems, including well-posedness, finite speed, and semi-linear Dunkl-wave equations, expanding the theory of Dunkl operators.
Findings
Proved well-posedness of Dunkl symmetric systems.
Described finite speed of propagation for these systems.
Analyzed semi-linear Dunkl-wave 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.
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