The stability for the Cauchy problem for elliptic equations 论文
2009Inverse Problems引用 316
Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringMathematical Analysis and Transform Methods
详细信息
- 发表期刊/会议
- Inverse Problems
- 发表日期
- 2009-11-23
- 发表年份
- 2009
关键词
Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringMathematical Analysis and Transform Methods
摘要
We discuss the ill-posed Cauchy problem for elliptic equations, which is pervasive in inverse boundary value problems modeled by elliptic equations. We provide essentially optimal stability results, in wide generality and under substantially minimal assumptions. As a general scheme in our arguments, we show that all such stability results can be derived by the use of a single building brick, the three-spheres inequality.