Cancellation properties and unconditional well-posedness for the fifth order KdV type equations with periodic boundary condition
| Autor: | Kato, Takamori, Tsugawa, Kotaro |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We consider the fifth order KdV type equations and prove the unconditional well-posedness in $H^s(\mathbb{T})$ for $s \ge 1$. It is optimal in the sense that the nonlinear terms can not be defined in the space-time distribution framework for $s<1$. The main idea is to employ the normal form reduction and a kinds of cancellation properties to deal with the derivative losses. Comment: 65 pages, To appear in Partial Differ. Equ. Appl |
| Databáze: | arXiv |
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