论文标题
Backus-Gilbert方法应用于线性和一些非线性方程
Applications of the Backus-Gilbert method to linear and some non linear equations
论文作者
论文摘要
我们研究了Backus-Gilbert方法的功能分析版本作为一种重建策略，以获取有关使用Frechét衍生操作员的线性和稍微非线性系统解决方案的特定信息。显示了一些先验误差估计值并测试了两个类别的问题：非线性力矩问题和线性椭圆形库奇问题。对于第二类问题，为了分析所涉及的伴随方程式，开发了绿色形式的特殊版本。
We investigate the use of a functional analytical version of the Backus-Gilbert Method as a reconstruction strategy to get specific information about the solution of linear and slightly non-linear systems with Frechét derivable operators. Some a priori error estimates are shown and tested for two classes of problems: a nonlinear moment problem and a linear elliptic Cauchy problem. For this second class of problems a special version of the Green-formula is developed in order to analyze the involved adjoint equations.
