Geodesic
Dunkl-Schrödinger Equations with and without Quadratic Potentials
Serdica Mathematical Journal, Tome 37 (2011) no. 2, pp. 113-142.

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The purpose of this paper is to study the dispersive properties of the solutions of the Dunkl-Schrödinger equation and their perturbations with potential. Furthermore, we consider a few applications of these results to the corresponding nonlinear Cauchy problems.
Keywords: Nonlinear Dunkl-Schrödinger Equation, Strichartz Estimate, Local and Global Well-Posedness, Blow Up, Scattering, Wave Operators 
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     author = {Mejjaoli, Hatem},
     title = {Dunkl-Schr\"odinger {Equations} with and without {Quadratic} {Potentials}},
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Mejjaoli, Hatem. Dunkl-Schrödinger Equations with and without Quadratic Potentials. Serdica Mathematical Journal, Tome 37 (2011) no. 2, pp. 113-142. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_2_a2/