时间域上抛物型方程正反演解的稳定性分析  

Stability Analysis of Forward-backward Problem with a Class of Parabolic Equation in Time Domain

作　　者：左锦辉[1] 王燕[1] 

机构地区：[1]东华理工大学数学与信息科学学院,江西抚州344000

出　　处：《四川理工学院学报（自然科学版）》2008年第3期16-19,共4页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

摘　　要：文章讨论了一类抛物型方程正反演解的稳定性,对于相应的正问题,证明了解的稳定性与估计,同时利用对数的凸性方法来证明反演的指数稳定性,得出了稳定性估计;给出了数值模拟,结果显示数值解与理论解吻合很好.The stability analysis for the solution of the forward-backward problem of the parabolic equation is discussed in the paper. As for countparting forward problem, the stability analysis solution of the forward problem is illuminated. Simultaneity, using the method of the logarithm of the protruding character testify the exponential stability of the inverse problem and get the stability of the estimation.Then numerical simulation experiments are provided,and the results manifests that the numerical solution and the theoretical are well consistent.

关 键 词：抛物型方程 正反演 稳定性 

分 类 号：O175.21[理学—数学]