Boundary Value Problems
Volume 2009 (2009), Article ID 305291, 22 pages
doi:10.1155/2009/305291
The inverse problem for elliptic equations from Dirichlet to Neumann map in multiply connected domains
Guochun Wen1
, Zuoliang Xu2
and Fengmin Yang2
1School of Mathematical Sciences, Peking University, Beijing 100871, China
2School of Information, Renmin University of China, Beijing 100872, China
Abstract
The present paper deals with the inverse problem for linear elliptic equations of second order from Dirichlet to Neumann map in multiply connected domains. Firstly the formulation and the complex form of the problem for the equations are given, and then the existence and global uniqueness of solutions for the above problem are proved by the complex analytic method, where we absorb the advantage of the methods in previous works and give some improvement and development.