Well-posedness of the periodic dispersion-generalized Benjamin-Ono equation in the weakly dispersive regime
| Autor: | Jöckel, Niklas |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study the dispersion-generalized Benjamin-Ono equation in the periodic setting. This equation interpolates between the Benjamin-Ono equation ($\alpha=1$) and the viscous Burgers' equation ($\alpha=0$). We obtain local well-posedness in $H^s$ for $s>3/2-\alpha$ and $\alpha\in(0,1)$ by using the short-time Fourier restriction method. Comment: 34 pages |
| Databáze: | arXiv |
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