International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 67, Pages 4217-4227
doi:10.1155/S0161171203304326
Uniqueness of semilinear elliptic inverse problem
Chaochun Qu1
and Ping Wang2
1Department of Mathematics, Yunnan University, Yunnan, Kunming 650091, China
2Department of Mathematics, Penn State University, Schuylkill Haven 17972, PA, USA
Abstract
We consider the uniqueness of the inverse problem for a semilinear elliptic differential equation with Dirichlet condition. The necessary and sufficient condition of unique solution is obtained. We improved the results obtained by Isakov and Sylvester (1994) for the same problem.