Nonlinear Dunkl-wave equations |
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| Authors: | H. Mejjaoli |
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| Affiliation: | 1. Department of Mathematics , Faculty of sciences of Tunis, Campus-1060 , Tunis, Tunisia hatem.mejjaoli@ipest.rnu.tn |
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| Abstract: | In this article, we introduce a class of nonlinear wave equations associated with the Dunkl operators, we study local and global well-posedness. Next, we establish the linearization of bounded energy solutions in the spirit of Gérard [P. Gérard, Oscillations and concentration effects in semilinear dispersive wave equations, J. Funct. Anal. 141 (1996), pp. 60–98]. The proof uses Strichartz-type inequalities and the energy estimate. |
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| Keywords: | Dunkl operators Dunkl-wave equation Strichartz estimates |
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