浅水波方程强解的唯一延拓性质  

Unique Continuation of Strong Solutions of Shallow Water Equations

作　　者：朱年花[1] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《吉首大学学报（自然科学版）》2011年第2期13-18,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(1077108)

摘　　要：考虑某些浅水波方程初值问题强解的唯一延拓性质,即证明了若在初始及以后某一时刻,强解的空间导数呈指数衰退,则它是零解.特别地,初值有紧支集的柯西问题的强解在以后的时间没有紧支集除非它是零解.It is shown that strong solutions of shallow water equations,initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular,a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.

关 键 词：浅水波方程 强解 唯一延拓性 

分 类 号：O175.24[理学—数学]