Nonlinear Dunkl-wave equations
- 15 September 2010
- journal article
- research article
- Published by Taylor & Francis Ltd in Applicable Analysis
- Vol. 89 (10), 1645-1668
- https://doi.org/10.1080/00036811.2010.495334
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.Keywords
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