Continuous regularization of nonlinear ill-posed problems
数学物理
2007-05-23 v1 偏微分方程分析
math.MP
数值分析
摘要
A general method for solving nonlinear ill-posed problems is developed. The method consists of solving a Cauchy problem with a regularized operator and proving that the solution of this problem tends, as time grows, to a solution of the original nonlinear stationary problem. Examples of applications of the general method are given. Convergence theorems are proved.
引用
@article{arxiv.math-ph/9911041,
title = {Continuous regularization of nonlinear ill-posed problems},
author = {R. Airapetyan and A. G. Ramm and A. Smirnova},
journal= {arXiv preprint arXiv:math-ph/9911041},
year = {2007}
}