
arXiv: 0812.2191
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.
This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Dunkl operators, Initial value problems for linear first-order PDEs, energy estimates, Dunkl symmetric systems, Analysis on real and complex Lie groups, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics, Dunkl-wave equations with variable coefficients, finite speed of propagation, Analysis of PDEs (math.AP)
Dunkl operators, Initial value problems for linear first-order PDEs, energy estimates, Dunkl symmetric systems, Analysis on real and complex Lie groups, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics, Dunkl-wave equations with variable coefficients, finite speed of propagation, Analysis of PDEs (math.AP)
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