Dunkl Hyperbolic Equations

Hatem Mejjaoli

doi:10.3842/SIGMA.2008.084

Dunkl Hyperbolic Equations

Classical Analysis and ODEs 2008-12-12 v1 Analysis of PDEs

Authors: Hatem Mejjaoli

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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

cauchy problem parabolic partial differential equations hyperbolic geometry

Cite

@article{arxiv.0812.2191,
  title  = {Dunkl Hyperbolic Equations},
  author = {Hatem Mejjaoli},
  journal= {arXiv preprint arXiv:0812.2191},
  year   = {2008}
}

Comments

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/

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