LOCAL WELL-POSEDNESS AND ILL-POSEDNESS ON THE EQUATION OF TYPE □u= u^k(u)~α  

作　　者：FANGDAOYUAN WANGCHENGBO 

机构地区：[1]DepartmentofMathematics,ZhejiangUniversity,Hangzhou310027,China

出　　处：《Chinese Annals of Mathematics,Series B》2005年第3期361-378,共18页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10271108).

摘　　要：This paper undertakes a systematic treatment of the low regularity local well-posedness and ill-posedness theory in H3 and Hs for semilinear wave equations with polynomial nonlinearity in u and (?)u. This ill-posed result concerns the focusing type equations with nonlinearity on u and (?)tu.

关 键 词：Semilinear wave equation Low regularity Local well-posedness ILL-POSEDNESS 

分 类 号：O411.1[理学—理论物理]