Dunkl heat semigroup and applications |
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| Authors: | Hatem Mejjaoli |
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| Institution: | 1. Department of Mathematics , College of Sciences, King Faisal University , P.O. 380 Ahsaa 31982, Kingdom of Saudi Arabia hatem.mejjaoli@ipest.rnu.tn hmejjaoli@kfu.edu.sa |
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| Abstract: | In this article we characterize the Dunkl–Besov spaces and prove the embedding Sobolev theorems via the Dunkl heat semigroup. We also study the dispersive properties of the solutions of the Dunkl heat equation. Furthermore, we consider a few applications of these results to the corresponding nonlinear Cauchy problems on generalized functional spaces. |
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| Keywords: | Dunkl heat semigroups Strichartz estimates nonlinear Dunkl heat equation local and global well-posedness |
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