日本語フィールド
著者：題名：Unconditional well-posedness of fifth order KdV equations with periodic boundary condition発表情報：RIMS Kokyuroku, Bessatsu 巻: B70 (2018) ページ: 105-129キーワード：KdV hierarchy, low regularity, Cauchy problem, well-posedness, uncodnitional uniqueness概要：We study the well-posedness of the Cauchy problem of the fifth order KdV type equations on the torus. We show the local well-posedness and unconditional uniqueness at low regularity.The main idea of the proof is using the conserved quantities to cancel the resonant parts with a loss of derivatives and applying the normal form reduction to the non-resonant parts to recover derivatives.抄録：英語フィールド
Author：Title：Unconditional well-posedness of fifth order KdV equations with periodic boundary conditionAnnouncement information:RIMS Kokyuroku, Bessatsu Vol: B70 (2018) Page: 105-129Keyword：KdV hierarchy, low regularity, Cauchy problem, well-posedness, uncodnitional uniquenessAn abstract：We study the well-posedness of the Cauchy problem of the fifth order KdV type equations on the torus. We show the local well-posedness and unconditional uniqueness at low regularity.The main idea of the proof is using the conserved quantities to cancel the resonant parts with a loss of derivatives and applying the normal form reduction to the non-resonant parts to recover derivatives.