A quasi-boundary value regularization method for identifying an unknown source in the Poisson equation

被引：0
作者：
Fan Yang
Miao Zhang
Xiao-Xiao Li
机构：
[1] Lanzhou University of Technology,School of Science
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
ill-posed problem; unknown source; conditional stability; quasi-boundary value; Poisson equation;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we consider the problem for identifying the unknown source in the Poisson equation in a half unbounded domain. A conditional stability result is given and a quasi-boundary value regularization method is presented to deal with this problem. For the regularization solution, the Hölder type stability estimate between the regularization solution and the exact solution is given. Numerical results are presented to illustrate the accuracy and efficiency of this method.
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