On the $L^2$ well-posedness and decay estimate of third order Benjamin-Ono equation
| Autor: | Wan, Lizhe |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We consider the $L^2$ well-posedness of third order Benjamin-Ono equation. We show that by means of a normal form and a gauge transformation, the equation can be changed into an Airy-type equation. A second goal of this work is to establish that the solutions to the nonlinear third order Benjamin-Ono equation problem exhibit a dispersive decay estimate analogue to the corresponding linear associated problem. The key ingredient is the use of a nonlinear vector field method. Comment: 32 pages. arXiv admin note: substantial text overlap with arXiv:1701.08476, arXiv:1901.05934 by other authors |
| Databáze: | arXiv |
| Externí odkaz: |
|