双曲型方程广义始值问题的系数反问题研究  

Coefficient Inverse Problem of Hyperbolic Partial Differential Equation with Generalized Initial Value

作　　者：吴建成[1] 张大力[1] 张显杰 

机构地区：[1]哈尔滨工业大学数学系

出　　处：《哈尔滨工业大学学报》1994年第4期5-9,共5页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金;中国科学院;中国石油天然气总公司;大庆石油管理局联合资助

摘　　要：讨论了双曲型方程ｕｔｔ－ｕｘｘ－ｑ（Ｘ）ｕ＝Ｆ（ｘ，ｔ）的广义始值问题的系数反问题。在一定的附加条件下，证明了该反问题的局部解的存在唯一性。The coefficient inverse problem of hyperbolic partial differential equation ntt-uxx-q(x)u = F(x, t) with generalized initial value uin region={(X,t)| -∞<x<+∞,t>f(x)} is discussed. The inverse problem to find q(x)∈C(-∞) and u(x,t)∈C2(D), and the relevant auxiliary conditions u (x0,t) =h1(t) and ux(x0, t)= h2(t) (t≥f(x0)) are presented. The existence and uniqueness theorems of local solution of inverse problem are given on the auxiliary conditions.

关 键 词：双曲型方程 反问题 广义 初值问题 

分 类 号：O175.27[理学—数学]