Poisson方程Neumann边值反问题的存在性、唯一性和稳定性

EXISTENCE,UNIQUENESS AND STABILITY OF INVERSE NEUMANN BOUNDARY VALUE PROBLEM OF POISSON EQUATION

摘要: 给出了通过Poisson方程的测试数据反演未知区域形状问题的解的存在性、唯一性和稳定性.此结果是利用Sobolev理论和Poisson方程的基本解获得的.

Abstract: Results of existence,uniqueness and stability recovering the domain from a measured data of Poisson equation are obtained.The results of determining the shape of unknown domain are proven with Sobolev theory and the fundamental solution of Poisson equation.