| Boundary value problem with equivalued surface is a kind of non-local boundary value problem, and it is put forward in 1970' s. Recently Li Ta-tsien and his parteners do a lot of work in this field. And motivated by many important applications, especially by resistivity well-logging in petroleum exploitation, Li Ta-tsien constructed the corresponding boundary value problems with equivalued surface for elliptic equations.Parameter identification problem is a class of inverse problem of equivalued surface problem. This paper deals with certain kind of single geometric parameter identification problem for elliptic equivalued surface boundary value problem. The limit behavior of the identification problem is studied.In Chapter 1, the background and history for the studied problem are given.In Chapter 2, we shall give a number of the conclusions related to the corresponding positive problem. And we shall give a few relevant lemmas and the major results of this article.In Chapter 3, we shall give the proof of the major result of this paper. In other words, we shall give the limit behavior of the identification problem. |
