A NOTE ON ＂SMALL AMPLITUDE SOLUTIONS OF THE GENERALIZED IMBQ EQUATION＂  

作　　者：Zhu Youbin 

机构地区：[1]Graduate School of Chinese Academy of Engineering Physics, P. O. Box 2101, Beijing 100088, China

出　　处：《Journal of Partial Differential Equations》2006年第4期377-383,共7页偏微分方程（英文版）

摘　　要：Global existence of small amplitude solution and nonlinear scattering result for the Canchy problem of the generalized IMBq equation were considered in the paper titled ＂Small amplitude solutions of the generalized IMBq equation＂ [1]. It is a pity that the authors overlooked the bad behavior of low frequency part of S（t）ψ which causes troubles in L^∞ and H^＊ estimates. In this note, we will present a new proof of global existence under same conditions as in [1] but for space dimension n ≥ 3.

关 键 词：IMBq equation Duhamel＇s principle Hoelder inequality Gronwall inequality Hausdorff-Young inequality. 

分 类 号：O175.24[理学—数学]