摘要
探讨二维Poisson方程只含有一个空间变量的未知源识别反问题.这类问题是不适定的,即问题的解不连续依赖于测量数据.利用简化的Tikhonov正则化方法,得到问题的一个正则近似解,并且给出正则解和精确解之间具有Ho¨lder型误差估计.
The inverse problem of identification of unknown source with only one spatial variable was discussed for two-dimensional Poisson equation. This problem was ill-posed, i. e. , the solution does not depend continuously on the data measured. A regularized approximate solution of the inverse problem was obtained by using simplified Tikhonov regularization method. For the regularization solution, Holder-type error estimate was gained between the regularized solution and the exact solution.
出处
《兰州理工大学学报》
CAS
北大核心
2009年第6期151-154,共4页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(10671085)
