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Nonlinear generalized Dunkl-wave equations and applications
Journal article   Peer reviewed

Nonlinear generalized Dunkl-wave equations and applications

H. Mejjaoli
Journal of mathematical analysis and applications, Vol.375(1), pp.118-138
01/03/2011
DOI: https://doi.org/10.1016/j.jmaa.2010.08.058

Abstract

Dunkl operators Dunkl–Bessel operator Generalized Dunkl-wave equation Strichartz estimates
In this paper, we introduce a class of nonlinear wave equations associated with the generalized Dunkl–Laplace operator, we study local and global well-posedness. Next we establish the linearization of bounded energy solutions in the spirit of Gérard (1996) [9]. The proof uses Strichartz type inequalities and the energy estimate.

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