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Cancellation properties and unconditional well-pposedness for the fifth order KdV type equations with periodic boundary condition

発表形態:
原著論文
主要業績:
主要業績
単著・共著:
共著
発表年月:
2024年05月
DOI:
https://doi.org/10.1007/s42985-024-00289-9
会議属性:
指定なし
査読:
有り
リンク情報:

日本語フィールド

著者:
Takamori Kato and Kotaro Tsugawa
題名:
Cancellation properties and unconditional well-pposedness for the fifth order KdV type equations with periodic boundary condition
発表情報:
Partial Differential Equations and Applications 巻: 5 号: 18 ページ: 55ページ
キーワード:
概要:
抄録:
We consider the fifth order KdV type equations and prove the unconditional well-posedness in H^s(T) for s ≧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.

英語フィールド

Author:
Takamori Kato and Kotaro Tsugawa
Title:
Cancellation properties and unconditional well-pposedness for the fifth order KdV type equations with periodic boundary condition
Announcement information:
Partial Differential Equations and Applications Vol: 5 Issue: 18 Page: 55ページ
An abstract:
We consider the fifth order KdV type equations and prove the unconditional well-posedness in H^s(T) for s ≧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.


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