数学杂志2020，Vol.40Issue(4)：395-407,13.
一类不适定非线性椭圆方程柯西问题的正则化方法
REGULARIZATION METHOD FOR AN ILL-POSED CAUCHY PROBLEM OF NONLINEAR ELLIPTIC EQUATION
摘要
Abstract
This paper considers an ill-posed Cauchy problem of nonlinear elliptic equation.By using a regularization method to overcome the ill-posedness,we obtain the existence,uniqueness,stability and convergence result of the regularization solution,and an iterative scheme is constructed to calculate the regularization solution,which is an extension on the related research results of existing literature in the aspect of regularization theory and algorithm for Cauchy problem of elliptic equation.关键词
不适定问题/柯西问题/非线性椭圆方程/正则化方法Key words
ill-posed problem/Cauchy problem/nonlinear elliptic equation/regularization method分类
数理科学引用本文复制引用
张宏武,张晓菊..一类不适定非线性椭圆方程柯西问题的正则化方法[J].数学杂志,2020,40(4):395-407,13.基金项目
Supported by the Science Research Project of Ningxia Higher School (NGY2017169). （NGY2017169）
