论文标题
探针方法和相关问题的新公式
A new formulation of the probe method and related problems
论文作者
论文摘要
探针方法给出了一个总体想法，以获取从数学对应物（dirichlet到neumann映射）中嵌入未知对象的重建公式的，该公式是对介质边界上某些物理数量的测量数据进行的。它基于与方程式有关的背景介质的管理方程式的特殊解决方案的序列。在本文中，阐明了序列的爆炸特性。此外，基于属性的探针方法的新公式在某些典型的逆边界值问题中给出。
The probe method gives a general idea to obtain a reconstruction formula of unknown objects embedded in a known background medium from a mathematical counterpart (the Dirichlet-to-Neumann map) of the measured data of some physical quantity on the boundary of the medium. It is based on the sequence of special solutions of the governing equation for the background medium related to a singular solution of the equation. In this paper the blowup property of the sequence is clarified. Moreover a new formulation of the probe method based on the property is given in some typical inverse boundary value problems.
