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 TsugawaTitle:Cancellation properties and unconditional well-pposedness for the fifth order KdV type equations with periodic boundary conditionAnnouncement 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.