Boundary Value Problems
Volume 2009 (2009), Article ID 305291, 22 pages
doi:10.1155/2009/305291
Research Article

The Inverse Problem for Elliptic Equations from Dirichlet to Neumann Map in Multiply Connected Domains

Guochun Wen,1 Zuoliang Xu,2 and Fengmin Yang2

1School of Mathematical Sciences, Peking University, Beijing 100871, China
2School of Information, Renmin University of China, Beijing 100872, China

Received 10 July 2008; Accepted 5 January 2009

Academic Editor: Pavel Drabek

Copyright © 2009 Guochun Wen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.